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 https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:solve-equations-inequalities/x2f8bb11595b61c86:linear-equations-parentheses/v/solving-equations-with-the-distributive-property 2023-09-15T05:13:15.999416188Z Equations with parentheses When an equation such as -9 - (9x - 6) = 3(4x + 6) has parentheses, we can distribute without changing the value of each side. Then combine like terms. Next, we move all the x-terms to one side and the constants to the other. Finally, we solve for x.  Sal Khan video https://cdn.kastatic.org/googleusercontent/5_hwfcuOOLM4qpRpKxyMDrmM_ivO0AYbRjXw5eWzi74UFuJZPEoAcqhbm6wjY7-VYOQ-ByHDst_nwCw86jOnkaiHig Equations with parentheses When an equation such as -9 - (9x - 6) = 3(4x + 6) has parentheses, we can distribute without changing the value of each side. Then combine like terms. Next, we move all the x-terms to one side and the constants to the other. Finally, we solve for x.  https://cdn.kastatic.org/ka-youtube-converted/YZBStgZGyDY.mp4/YZBStgZGyDY.mp4 364 Linear Equations 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 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 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 https://www.khanacademy.org/math/revision-up-math-class-7/xad74f3b46242b79b:week-2-revision-up-math-class-7/xad74f3b46242b79b:linear-equations-revision-up-math-class-7/e/revision-linear-equations-up-math-class-7 2025-01-27T09:53:09.701493226Z Revision Linear Equations Practice problems for revision of Linear Equations. Satya Swaroop exercise