Answer
$x=35$
Work Step by Step
$\sqrt[3] (2x-6)-4=0$
Add 4 to both sides of the equation.
$\sqrt[3] (2x-6)=4$
Cube both sides.
$(\sqrt[3] (2x-6))^{3}=4^{3}$
$2x-6=64$
Add 6 to both sides.
$2x=70$
Divide both sides by 2.
$x=35$