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 - 1.1 - Solving Simple Equations - Exercises - Page 8: 26

Answer

$x=-16$

Work Step by Step

Use the Multiplication Property of Equality by multiplying $-2$ to both sides of the equation: $$\begin{align*} [x\div(-2)] \times (-2)&=8 \times (-2)\\ x&=-16\end{align*}$$ Check the solution by substituting $-16$ to the variable in the given equation: $$\begin{align*} x\div(-2)&=8\\ -16\div (-2)&\stackrel{?}{=}8\\ 8&\stackrel{\checkmark}{=}8\end{align*}$$ Thus, the solution is $x=-16$.
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