Answer
$x=12$
Work Step by Step
For easier work, it is better to get rid of the fractions.
This can be achieved by multiplying the LCD $6$ on both sides of the equation to obtain:
$6(\frac{x}{3}) = 6(\frac{x}{2} - 2)
\\\frac{6x}{3} = \frac{6x}{2} - 6(2)
\\2x = 3x - 12$
Add $12$ on both sides and subtract $2x$ on both sides to obtain:
$12=3x-2x
\\12 = x$
Check:
$\begin{array}{ccc}
&\frac{12}{3} &= &\frac{12}{2} - 2
\\&4 &= &6-2
\\&4 &= &4
\end{array}$
