## College Algebra (10th Edition)

$x=-\frac{7}{2}$ or $x=\frac{1}{2}$
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 $x=\frac{1}{2}$