https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-7th-2-step-equations-intro/v/why-we-do-the-same-thing-to-both-sides-two-step-equations 2021-06-30T17:51:06Z Intro to two-step equations Here's how we solve a two step equation. It begins with the concept of equality: what we do to one side of the equation must be done to the other. Sal Khan video https://cdn.kastatic.org/googleusercontent/1CtT2vJ4JJfK95E2SUf73hnHef_-xVncH65qOj-RpXf_fjQFHf-keZJbTiFMCgUEXnsVwo7Mkk_y0bhYQHTGtiU Intro to two-step equations Here's how we solve a two step equation. It begins with the concept of equality: what we do to one side of the equation must be done to the other. https://cdn.kastatic.org/ka-youtube-converted/_y_Q3_B2Vh8.mp4/_y_Q3_B2Vh8.mp4 312 Linear equations in one variable https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-7th-2-step-equations-intro/v/equations-2 2021-06-30T17:51:10Z Two-step equations intuition This example demonstrates how we solve an equation expressed such: ax + b = c. It's a little more complicated than previous examples, but you can do it! Sal Khan video https://cdn.kastatic.org/googleusercontent/fhfJcX0akEsX-lYbisyU41_xI0AAzP6OcslEfiHnur3jBunIWP09MwxpDvjblYILw9afVlkvYpFXxhKfuDPnbM0 Two-step equations intuition This example demonstrates how we solve an equation expressed such: ax + b = c. It's a little more complicated than previous examples, but you can do it! https://cdn.kastatic.org/ka-youtube-converted/XoEn1LfVoTo.mp4/XoEn1LfVoTo.mp4 521 Linear equations in one variable https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-7th-2-step-equations-intro/v/solving-equations-1 2021-07-02T09:35:26Z Worked example: two-step equations Sal solves the equation -16 = x/4 + 2. It takes two steps because he first has to subtract 2 from both sides and then multiply both sides by 4. Sal Khan video https://cdn.kastatic.org/googleusercontent/QiQDNq5ahsYhEPD2KUZf0gHE_x7EOwZEYq-Ys14iWgUO6WfMFybttVgho_KS2aRfNTpI0sPMGmDqImTBt7u7pEQ Worked example: two-step equations Sal solves the equation -16 = x/4 + 2. It takes two steps because he first has to subtract 2 from both sides and then multiply both sides by 4. https://cdn.kastatic.org/ka-youtube-converted/p5e5mf_G3FI.mp4/p5e5mf_G3FI.mp4 184 Linear equations in one variable https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-7th-2-step-equations-intro/e/linear_equations_2 2026-06-25T23:50:45.984016225Z Two-step equations Practice solving equations that take two steps to solve. For example, solve  -16 = x/4 + 2. Ben Alpert exercise https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-8th-two-step-equations-dec-frac/a/two-step-equations-review 2021-06-30T17:51:07Z Two-step equations review A two-step equation is an algebraic equation that takes you two steps to solve. You've solved the equation when you get the variable by itself, with no numbers in front of it, on one side of the equal sign. article https://www.khanacademy.org/math/algebra-home/alg-basic-eq-ineq/alg-two-steps-equations-intro/v/steps-when-solving-equations 2021-01-08T23:35:33Z Describing steps when solving equations Sal lists the steps necessary in order to solve a linear equation. This is useful for thinking more strategically about equations. Sal Khan video https://cdn.kastatic.org/googleusercontent/S8MfR5ocolqAE44IPeMeGneDMBU3bQZ8AsdTwVHf8QM7rYGAKJMAC1a_QPxUPxzP9F4lqs2obP9NJrnr4hK7Dns6 Describing steps when solving equations Sal lists the steps necessary in order to solve a linear equation. This is useful for thinking more strategically about equations. https://cdn.kastatic.org/ka-youtube-converted/LzYJVsvqS50.mp4/LzYJVsvqS50.mp4 136 Linear equations in one variable https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:solve-equations-inequalities/x2f8bb11595b61c86:linear-equations-variables-both-sides/v/solving-equations-2 2023-09-21T22:20:18.864150437Z Equations with variables on both sides: 20-7x=6x-6 Solving equations like 20 - 7x = 6x - 6 with the variable on both sides involves a few steps! First, we add or subtract terms from both sides to separate constants and variables to different sides of the equation. Then, we simplify to isolate the variable. Finally, we check our answer by plugging it back into the original equation. Sal Khan video https://cdn.kastatic.org/googleusercontent/NW5p7h7ViFUcsKGBcschM9zdOmYIHqwvwvhrnLn_p7sn_hV-eutPUtfFTyfpU-kL1y8Zbgg9jQAxw5SmqkED2LEj_A Equations with variables on both sides: 20-7x=6x-6 Solving equations like 20 - 7x = 6x - 6 with the variable on both sides involves a few steps! First, we add or subtract terms from both sides to separate constants and variables to different sides of the equation. Then, we simplify to isolate the variable. Finally, we check our answer by plugging it back into the original equation. https://cdn.kastatic.org/ka-youtube-converted/1c5HY3z4k8M.mp4/1c5HY3z4k8M.mp4 246 Linear equations in one variable https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:solve-equations-inequalities/x2f8bb11595b61c86:linear-equations-variables-both-sides/e/linear_equations_3 2025-02-18T07:52:09.551150445Z Equations with variables on both sides Practice solving one-variable equations like 20 - 7x = 6x - 6, where the variable appears on both sides of the equals sign. Ben Stenhaug exercise https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:solve-equations-inequalities/x2f8bb11595b61c86:linear-equations-variables-both-sides/v/solving-equations-with-the-distributive-property-2 2023-09-15T05:13:15.999416188Z Equation with variables on both sides: fractions To solve the equation (3/4)x + 2 = (3/8)x - 4, we first eliminate fractions by multiplying both sides by the least common multiple of the denominators. Then, we add or subtract terms from both sides of the equation to group the x-terms on one side and the constants on the other. Finally, we solve and check as normal. Sal Khan video https://cdn.kastatic.org/googleusercontent/PW_RdA8tyQVshcjQN8ftClNkwS7T6Og5J5kNtyhvj-O-Ef7gGWGtANmwYdjWroc3_z1IuI2g_-Fc4dWdCdNfQ7U Equation with variables on both sides: fractions To solve the equation (3/4)x + 2 = (3/8)x - 4, we first eliminate fractions by multiplying both sides by the least common multiple of the denominators. Then, we add or subtract terms from both sides of the equation to group the x-terms on one side and the constants on the other. Finally, we solve and check as normal. https://cdn.kastatic.org/ka-youtube-converted/PL9UYj2awDc.mp4/PL9UYj2awDc.mp4 290 Linear equations in one variable https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:solve-equations-inequalities/x2f8bb11595b61c86:linear-equations-variables-both-sides/e/variables-on-both-sides-rational 2026-06-30T18:30:52.510218683Z Equations with variables on both sides: decimals & fractions Solve linear equations where the variable appears on both sides of the equation and the coefficients are decimals or fractions. Ben Stenhaug exercise https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:solve-equations-inequalities/x2f8bb11595b61c86:linear-equations-variables-both-sides/v/ex-2-multi-step-equation 2023-09-29T20:10:37.268517027Z Equation with the variable in the denominator The variable x is in the denominator in 7 - 10/x = 2 + 15/x. We can multiply both sides of the equation by x to turn it into a more familiar, linear form without fractions. From there, we isolate the variable to solve. P.S. x cannot equal zero, because then the equation would be undefined. Sal Khan video https://cdn.kastatic.org/googleusercontent/QeefTk0_VG1_yfcs1Q4_ywK2kgB2HElN5omM9cgYfARdfw3hAb3aYFlxzyLF4euU2SGAf5LvMXcN-dyWxatGfxI Equation with the variable in the denominator The variable x is in the denominator in 7 - 10/x = 2 + 15/x. We can multiply both sides of the equation by x to turn it into a more familiar, linear form without fractions. From there, we isolate the variable to solve. P.S. x cannot equal zero, because then the equation would be undefined. https://cdn.kastatic.org/ka-youtube-converted/Z7C69xP08d8.mp4/Z7C69xP08d8.mp4 204 Linear equations in one variable https://www.khanacademy.org/math/algebra-home/alg-basic-eq-ineq/alg-variables-on-both-sides/v/missing-steps 2023-11-15T19:12:44.061361401Z Figuring out missing algebraic step There is a hidden step in Steven's solution to solving an equation. There are different ways to solve an equation. To find Steven's missing step, we can see what we would do in the equation. Then we can see if another step will get us to the work Sten is showing. If not, we can try solving a different way. Sal Khan video https://cdn.kastatic.org/googleusercontent/Q_M9s1YoQlfvqVav6Y9GLE3VdEEKrBBVPzSondXfXwgzBnZnd90LH_DbwNy3_tjSFZJ1dVSkZhwadhx-2eiQpqzI Figuring out missing algebraic step There is a hidden step in Steven's solution to solving an equation. There are different ways to solve an equation. To find Steven's missing step, we can see what we would do in the equation. Then we can see if another step will get us to the work Sten is showing. If not, we can try solving a different way. https://cdn.kastatic.org/ka-youtube-converted/RXgj09NXNWo.mp4/RXgj09NXNWo.mp4 114 Linear equations in one variable https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-7th-linear-eq-word-probs/e/linear-equation-world-problems-2 2026-04-08T00:36:09.500768563Z Two-step equations word problems Practice writing equations to model and solve real-world situations. shriram.joshi exercise https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-7th-linear-eq-word-probs/v/linear-equation-word-problem-example 2021-06-30T17:51:05Z Two-step equation word problem: oranges Learn how to solve a word problem by writing an equation to model the situation. In this video, we use the linear equation 210(t-5) = 41,790. Sal Khan video https://cdn.kastatic.org/googleusercontent/Bvmb5jnAnZR6yaV4QJF8kkMq5jbBBuSV9n0hYRubUzdNQ5sUh6HO8-V4CiBc04aQWTNJsyddPAwBBx9yuYjEzZE Two-step equation word problem: oranges Learn how to solve a word problem by writing an equation to model the situation. In this video, we use the linear equation 210(t-5) = 41,790. https://cdn.kastatic.org/ka-youtube-converted/xKH1Evwu150.mp4/xKH1Evwu150.mp4 359 Linear equations in one variable https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-7th-linear-eq-word-probs/v/basic-linear-equation-word-problem 2021-07-02T09:35:26Z Two-step equation word problem: computers Learn how to construct and solve a basic linear equation to solve a word problem. Sal Khan video https://cdn.kastatic.org/googleusercontent/fnhBWrzdpuKHTYoc67w5zwoceQx7GIchm2C4xM4eu2uehQafZfW5jkykpbJZrpAq0jeUwF6xqh9rESEGQmwFTceuHg Two-step equation word problem: computers Learn how to construct and solve a basic linear equation to solve a word problem. https://cdn.kastatic.org/ka-youtube-converted/roHvNNFXr4k.mp4/roHvNNFXr4k.mp4 286 Linear equations in one variable https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-7th-linear-eq-word-probs/v/application-problems-with-equation-in-one-variable 2021-07-02T09:35:29Z Two-step equation word problem: garden Here's a nifty word problem in which we find the dimensions of a garden given only the perimeter. Let's create an equation to solve! Sal Khan video https://cdn.kastatic.org/googleusercontent/uti_w9XD0GpSP8uDTpPx8trtjAh_uqwK6EbrrV5yRp9KRfUCmxUSrmrbviaGKG1PTqFYOhr7sisbZHu5am3UaccO Two-step equation word problem: garden Here's a nifty word problem in which we find the dimensions of a garden given only the perimeter. Let's create an equation to solve! https://cdn.kastatic.org/ka-youtube-converted/iimpwYBiKNg.mp4/iimpwYBiKNg.mp4 122 Linear equations in one variable https://www.khanacademy.org/math/kn-math-class-9-bridge/x14595f36277e97c8:rational-numbers-and-linear-equations/x14595f36277e97c8:solving-linear-equations/e/word-problems-linear-equations--basic- 2026-01-23T08:40:34.486977025Z Word problems linear equations (basic) Equations convertible to linear ashish exercise https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-solving-equations/linear-equations-word-problems/v/sum-consecutive-integers 2023-04-19T21:01:17.089483175Z Sums of consecutive integers When solving a math problems involving consecutive integers, we can use algebra to set up an equation to solve for the smallest of the four integers. Sal Khan video https://cdn.kastatic.org/googleusercontent/bppmTTchB8DkQmG8aE0klC9vJpFjEaYx0QaTMhYsQW3GmpHGUUgXp-9YI385qs1zbhdEm_l1mSXtwAiv-l648T5bRw Sums of consecutive integers When solving a math problems involving consecutive integers, we can use algebra to set up an equation to solve for the smallest of the four integers. https://cdn.kastatic.org/ka-youtube-converted/8CJ6Qdcoxsc.mp4/8CJ6Qdcoxsc.mp4 319 Linear equations in one variable https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-solving-equations/linear-equations-word-problems/e/integer_sums 2024-05-31T18:50:21.030422474Z Sums of consecutive integers Practice finding the nth number in a sequence of consecutive numbers based on the sum. Peter Collingridge exercise https://www.khanacademy.org/math/in-class-10-math-foundation-hindi/x0e256c5c12062c98:linear-equations-hindi/x0e256c5c12062c98:equations-in-1-variable-hindi/e/word-problems-linear-equations--advanced- 2024-12-20T18:09:40.457174752Z Linear equations word problems (advanced) Word problems linear equations (advanced) ashish exercise