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: 55

Answer

$x=-\dfrac{8}{b}$

Work Step by Step

$b$ is a nonzero constant so both sides of the equation can be divided by $b$. $$\begin{align*} (2b-b)x&=-8 &\text{Perform the subtraction,}\\ bx&=-8 &\text{Simplify.}\\ \frac{bx}{b}&=\frac{-8}{b} &\text{Divide $b$ to both sides.}\\ x&=-\frac{8}{b} &\text{Simplify.} \end{align*}$$
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