# SOLUTION: solve the following equation: 1/7(x-20)=1/5(x-28)

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: solve the following equation: 1/7(x-20)=1/5(x-28)      Log On

 Ad: You enter your algebra equation or inequality - Algebrator solves it step-by-step while providing clear explanations. Free on-line demo . Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations! Ad: Mathway solves algebra homework problems with step-by-step help!

 Quadratics: solvers Practice! Answers archive Lessons Word Problems In Depth

 Question 414505: solve the following equation: 1/7(x-20)=1/5(x-28)Answer by algebrahouse.com(1283)   (Show Source): You can put this solution on YOUR website!solve the following equation: 1/7(x - 20) = 1/5(x - 28) You can get rid of the fractions by multiplying the entire equation by the least common denominator of the fractions, which is 35 35[1/7(x - 20) = 1/5(x - 28] {multiplied entire equation by LCD, 35} 35[1/7(x - 20)] = 35[1/5(x - 28)] {multiplied each term by 35} 5(x - 20) = 7(x - 28) {cancelled and multiplied what's left} 5x - 100 = 7x - 196 {used distributive property} 5x = 7x - 96 {added 100 to both sides} -2x = -96 {subtracted 7x from both sides} x = 48 {divided both sides by -2} www.algebrahouse.com