Answer
$x=2$
$x=-\frac{4}{3}$
Work Step by Step
$|x+3|=|2x+1|$
We split the absolute value into two equations, the positive and negative:
$x+3=2x+1$
$x-2x=1-3$
$-x=-2$
$x=2$
$x+3=-(2x+1)$
$x+3=-2x-1$
$x+2x=-1-3$
$3x=-4$
$x=-\frac{4}{3}$
College Algebra 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
Published by
Brooks Cole
ISBN 10:
1305115546
ISBN 13:
978-1-30511-554-5
Chapter 1, Equations and Graphs - Section 1.8 - Solving Absolute Value Equations and Inequalities - 1.8 Exercises - Page 153: 22
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