# 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

$x=1~or~ x=-4$

#### 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 $x=1~or~ x=-4$.

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