Answer
$x=2,-\frac{4}{3}$
Work Step by Step
Solve $|x+3|=|2x+1|$.
$±(x+3)=(2x+1)$
It can be simplified as follows:
$(x+3)=(2x+1)$ and $-(x+3)=(2x+1)$
$2x-x=3-1$ and $-x-3=2x+1$
$x=2$ and $x=-\frac{4}{3}$
Hence, $x=2, -\frac{4}{3}$
Calculus: Early Transcendentals 9th Edition
by Stewart, James
Published by
Cengage Learning
ISBN 10:
1337613924
ISBN 13:
978-1-33761-392-7
APPENDIX A - Numbers, Inequalities, and Absolute Values - A Exercises - Page A9: 45
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