$12x-3-2\left( x+3 \right)=7\left( x-1 \right)+2$
$12x-3-2x-6=7\left( x-1 \right)+2$
$12x-3-2x-6=7x-7+2$
$10x-3-6=7x-7+2$
$10x-9=7x-7+2$
$10x-9=7x-5$
$10x-9-7x=-5$
$10x-7x=-5+9$
$3x=-5+9$
$3x=4$
$\begin{align*}&x=\frac{ 4 }{ 3 } \\&\begin{array} { l }x=1 \frac{ 1 }{ 3 },& x=1.\overline{ 3 }\end{array}\end{align*}$