#### 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:
$x+3=2x+1$
$x-2x=1-3$
$-x=-2$
$x=2$
$x+3=-(2x+1)$
$x+3=-2x-1$
$x+2x=-1-3$
$3x=-4$
$x=-\frac{4}{3}$

Published by
Brooks Cole

ISBN 10:
1305115546

ISBN 13:
978-1-30511-554-5

$x=2$
$x=-\frac{4}{3}$

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