Answer
$x=6$
Work Step by Step
Raising both sides to the third power of the given equation, $
\sqrt[3]{x+5}=\sqrt[3]{2x-1}
,$ then the solution/s is/are
\begin{array}{l}\require{cancel}
x+5=2x-1
\\\\
x-2x=-1-5
\\\\
-x=-6
\\\\
x=6
.\end{array}