Answer
$x=5$
Work Step by Step
Subtract 7 on both sides to obtain:
$(3x+1)^{\frac{1}{4}}=2$
Raise both sides to the fourth power obtain:
$\left((3x+1)^{\frac{1}{4}}\right)^4=2^4
\\(3x+1)^{\frac{1}{4}(4)}=16
\\(3x+1)^1=16
\\3x+1=16$
Subtract 1 on both sides to obtain:
$3x=15$
Divide 3 on both sides to obtain:
$x = 5$
