Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 1 - Solving Linear Equations - 1.2 - Solving Multi-Step Equations - Exercises - Page 18: 56

Answer

$x=\dfrac{9b}{c}$

Work Step by Step

$c$ is a nonzero constant so both sides of the equation can be divided by $c$. $$\begin{align*} cx--4b+4b&=5b+4b &\text{Add $4b$ to both sides,}\\ cx&=9b &\text{Simplify.}\\ \frac{cx}{c}&=\frac{9b}{c} &\text{Divide $c$ to both sides.}\\ x&=\frac{9b}{c} &\text{Simplify.} \end{align*}$$
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