Answer
$x=1~or~ x=-4$
Work Step by Step
Using the definition of the absolute value, we have
$$
|2x+3|=5\Longrightarrow 2x+3=5 ~or~ 2x+3=-5\\
\Longrightarrow 2x=2~or~ 2x=-8
.$$
That is $x=1~or~ x=-4$.
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: 19
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