Answer
$5$
Work Step by Step
Divide $5$ to both sides:
\begin{align*}
\dfrac{5(3x+1)^{\frac{1}{4}}}{5}&=\dfrac{10}{5}\\\\
(3x+1)^{\frac{1}{4}}&=2\\
\end{align*}
Raise both sides to the fourth power:
\begin{align*}
\left[(3x+1)^{\frac{1}{4}}\right]^4=2^4\\\\
3x+1&=16\\
\end{align*}
Solve for $x$:
\begin{align*}
3x&=16-1\\\\
3x&=15\\\\
\frac{3x}{3}&=\frac{15}{3}\\\\
x&=5
\end{align*}
