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 Fractional equations https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:solve-equations-inequalities/x2f8bb11595b61c86:linear-equations-variables-both-sides/e/variables-on-both-sides-rational 2023-12-11T22:13:00.981327266Z 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/algebra2/x2ec2f6f830c9fb89:eq/x2ec2f6f830c9fb89:rational-eq/v/rational-equation-intro 2022-09-10T02:03:40.164764806Z Rational equations intro When we have an equation where the variable is in the denominator of a quotient, that's a rational equation. We can solve it by multiplying both sides by the denominator, but we have to look out for extraneous solutions in the process. Sal Khan video https://cdn.kastatic.org/ka_thumbnails_cache/c80149d3-772e-48ea-b73c-e548eededec5_1280_720_base.png Rational equations intro When we have an equation where the variable is in the denominator of a quotient, that's a rational equation. We can solve it by multiplying both sides by the denominator, but we have to look out for extraneous solutions in the process. https://cdn.kastatic.org/ka-youtube-converted/3RdNPrNUi4s.mp4/3RdNPrNUi4s.mp4 192 Fractional equations https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:eq/x2ec2f6f830c9fb89:rational-eq/e/linear_equations_4 2026-04-02T15:41:08.454832981Z Rational equations intro Solve equations that have one rational expression whose numerator and denominator are linear expressions. Tomer Gal exercise https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:eq/x2ec2f6f830c9fb89:rational-eq/v/equations-with-two-rational-expressions 2022-10-06T23:23:50.639907812Z Equations with rational expressions Sal solves (x²-10x+21)/(3x-12)=(x-5)/(x-4), which has one real solution and one extraneous solution. video https://cdn.kastatic.org/ka_thumbnails_cache/ce5e7edb-ec2a-4575-8924-244cb6a06134_1280_720_base.png Equations with rational expressions Sal solves (x²-10x+21)/(3x-12)=(x-5)/(x-4), which has one real solution and one extraneous solution. https://cdn.kastatic.org/ka-youtube-converted/McOMtxI_Jzs.mp4/McOMtxI_Jzs.mp4 312 Fractional equations https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:eq/x2ec2f6f830c9fb89:rational-eq/v/equations-with-two-rational-expressions-2 2022-10-06T23:23:50.639907812Z Equations with rational expressions (example 2) Sal solves (-2x+4)/(x-1)=3/(x+1)-1.  video https://cdn.kastatic.org/ka_thumbnails_cache/bbcacce8-768a-4d11-8354-85ec6b22d56b_1280_720_base.png Equations with rational expressions (example 2) Sal solves (-2x+4)/(x-1)=3/(x+1)-1.  https://cdn.kastatic.org/ka-youtube-converted/CBlSsy1eslw.mp4/CBlSsy1eslw.mp4 432 Fractional equations https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:eq/x2ec2f6f830c9fb89:rational-eq/e/rational-equations-3 2021-08-05T05:39:12.794526445Z Rational equations Solve advanced rational equations with multiple expressions. Tomer Gal 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 Fractional equations https://www.khanacademy.org/math/algebra-home/alg-basic-eq-ineq/alg-old-school-equations/v/algebra-linear-equations-2 2020-06-23T07:22:43Z Linear equations 2 solving equations of the form AX+B=C Sal Khan video https://cdn.kastatic.org/googleusercontent/TyYfwoZtTlaDYyld6bP_p-n4GMT2VZjMPT1pazIiOlWyRtuzlfiEjsf45eOLbbB2nooOkm05-JjVVy2dvsq2gSXE Linear equations 2 solving equations of the form AX+B=C https://cdn.kastatic.org/ka-youtube-converted/DopnmxeMt-s.mp4/DopnmxeMt-s.mp4 367 Fractional equations https://www.khanacademy.org/math/algebra-home/alg-basic-eq-ineq/alg-old-school-equations/v/algebra-linear-equations-4 2020-06-23T07:22:43Z Linear equations 4 Solving linear equations with variable expressions in the denominators of fractions Sal Khan video https://cdn.kastatic.org/googleusercontent/7QMEqUMAYBfFNDsW9sJz6lUJ288Hs3_5PaBIleJFzkGZVk4eY3_XjFkKJ0DTfTuo_WxLpXSSrAiTQ_trtfuQt6c0nw Linear equations 4 Solving linear equations with variable expressions in the denominators of fractions https://cdn.kastatic.org/ka-youtube-converted/9IUEk9fn2Vs.mp4/9IUEk9fn2Vs.mp4 458 Fractional equations https://www.khanacademy.org/math/up-class-9-bridge/x27a9f6658c8b5c27:linear-equations-in-one-variable/x27a9f6658c8b5c27:untitled-16/e/b9-equations-reducible-to-linear-form 2023-03-03T12:49:07.012797194Z Equations reducible to linear form Equations reducible to linear form ashish exercise