Algebra 2 Common Core

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

Chapter 1 - Expressions, Equations, and Inequalities - 1-4 Solving Equations - Practice and Problem-Solving Exercises - Page 31: 56



Work Step by Step

We start by distributing. We have $3atx−2ab=cdx−2c$. We want to be able to factor out x so we move the terms with x to one side and the terms without x to the other side. We will add $2ab$ and $-cdx$ to both sides to get $3atx-cdx=2ab-2c$. Now we factor out x to get $x(3at-cd)=2ab-2c$. Finally, we divide both sides by $(3at-cd)$ to isolate x. $x=\frac{2ab-2c}{3at-cd}$
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