Answer
$x = 39$
Work Step by Step
Subtract 7 on both sides to obtain:
$(2x+3)^{\frac{1}{4}}=3$
Raise both sides to the fourth power obtain:
$\left((2x+3)^{\frac{1}{4}}\right)^4=3^4
\\(2x+3)^{\frac{1}{4}(4)}=81
\\(2x+3)^1=81
\\2x+3=81$
Subtract 3 on both sides to obtain:
$2x=78$
Divide 2 on both sides to obtain:
$x = 39$
