Answer
$x=-\frac{7}{2}$ or $x=\frac{1}{2}$
Work Step by Step
We solve using the fact that $|a|=b$ implies $a=b$ or $a=-b$:
$|2x+3|=4$
$2x+3=-4$ or $2x+3=4$
$2x=-7$ or $2x=1$
$x=-\frac{7}{2}$ or $x=\frac{1}{2}$
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