#### Answer

$x = -\frac{2}{7}$

#### Work Step by Step

$\frac{5}{6}x - 2x + \frac{4}{3} = \frac{5}{3}$
$\frac{5}{6}x - \frac{12}{6}x + \frac{4}{3} = \frac{5}{3}$
$\frac{5-12}{6}x = \frac{5}{3} - \frac{4}{3}$
$\frac{-7}{6}x = \frac{1}{3}$
$\frac{-7}{6}x\times \frac{-6}{7} = \frac{1}{3}\times \frac{-6}{7}$
$x=-\frac{6}{21}$
$x = -\frac{2}{7}$