$9x-2=32$
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*}$