Answer
$x=\frac{5}{2}$
Work Step by Step
We solve:
$\displaystyle \frac{2x}{3}-\frac{x}{2}=\frac{5}{12}$
Multiply through by $12$:
$12\ (\frac{2x}{3}-\frac{x}{2})=12*\frac{5}{12}$
$\frac{24x}{3}-\frac{12x}{2}=12*\frac{5}{12}$
$8x-6x=5$
$2x=5$
$x=\frac{5}{2}$