Answer
$x=29$
Work Step by Step
$\sqrt[3] (x-2)-3=0$
Add 3 to both sides of the equation.
$\sqrt[3] (x-2)=3$
Cube both sides.
$(\sqrt[3] (x-2))^{3}=3^{3}$
$x-2=27$
Add 2 to both sides.
$x=29$
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