Answer
$$x=-\frac{3}{5}.$$
Work Step by Step
We simplify first and add the like terms as follows
$$ 3(x - 2) + 4(3 - 2x) = 9\Longrightarrow
3x-6+12-8x=9\\
\Longrightarrow -5x+6=9\Longrightarrow-5x=3$$
by dividing by $-5$, we have
$$x=-\frac{3}{5}.$$
