Answer
$x=35$
Work Step by Step
Raising both sides to the third power of the given equation, $
\sqrt[3]{2x-6}=4
,$ then the solution/s is/are
\begin{array}{l}\require{cancel}
2x-6=64
\\\\
2x=64+6
\\\\
2x=70
\\\\
x=\dfrac{70}{2}
\\\\
x=35
.\end{array}
