Answer
$x=-4~or~x=4$.
Work Step by Step
Using the definition of the absolute value, we have
$$
|-2x|=8\Longrightarrow -2x=8~or~ -2x=-8
.$$
Thus, we solve the two possible equations:
$-2x=8$ or $-2x=-8$
$x=-4~or~x=4$.
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 2 - Linear and Quadratic Functions - Section 2.8 Equations and Inequalities Involving the Absolute Value Function - 2.8 Assess Your Understanding - Page 182: 23
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