#### Answer

$x=24$

#### 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:
$6(20-\frac{x}{3}) = 6(\frac{x}{2})
\\120 - \frac{6x}{3} = \frac{6x}{2}
\\120 - 2x = 3x$
Add $2x$ on both sides to obtain:
$120=3x+2x
\\120=5x
\\\frac{120}{5} = \frac{5x}{5}
\\24=x$
Check:
$\begin{array}{ccc}
&20 - \frac{24}{3} &= &\frac{24}{2}
\\&20-86 &= &12
\\&12 &= &12
\end{array}$