Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 2 - Functions, Equations, and Graphs - 2-2 Direct Variation - Practice and Problem-Solving Exercises - Page 73: 61



Work Step by Step

We start by distributing and simplifying. We have $4(x-5)+x=8x-10-x$ is $4x-20+x=8x-10-x$. Simplifying gives us $5x-20=7x-10$. Now we want to put x with its coefficient on one side of the equation and the other numbers on the other side. We can do this by adding $-7x$ and $20$ to both sides. That gives us $-2x=10$. Now, we want to fully isolate x so we divide both sides by -2, so $x=-5$.
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