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: 53

Answer

$x=\dfrac{12.5+b}{a}$

Work Step by Step

$a$ is a nonzero constant so both sides of the equation can be divided by $a$. $$\begin{align*} ax-b+b&=12.5+b &\text{Add $b$ to both sides,}\\ ax&=12.5+b &\text{Simplify.}\\ \frac{ax}{a}&=\frac{12.5+b}{a} &\text{Divide $a$ to both sides.}\\ x&=\frac{12.5+b}{a} &\text{Simplify.} \end{align*}$$
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