Calculate: (d)/(5)=(12)/(80)

Expression: $\sqrt[5]{9x-2}=2$

Raise both sides of the equation to the power of $5$

$9x-2=32$

Move the constant to the right-hand side and change its sign

$9x=32+2$

Add the numbers

$9x=34$

Divide both sides of the equation by $9$

$\begin{align*}&x=\frac{ 34 }{ 9 } \\&\begin{array} { l }x=3 \frac{ 7 }{ 9 },& x=3.\overset{ \cdot }{ 7 } \end{array}\end{align*}$