Answer
$x = \frac{5}{2}$
Work Step by Step
Subtract 4 on both sides to obtain:
$(2x+3)^{\frac{1}{3}}=2$
Cube both sides to obtain:
$\left((2x+3)^{\frac{1}{3}}\right)^3=2^3
\\(2x+3)^{\frac{1}{3}(3)}=8
\\(2x+3)^1=8
\\2x+3=8$
Subtract 3 on both sides to obtain:
$2x=5$
Divide 2 on both sides to obtain:
$x = \frac{5}{2}$
