#### Answer

x = -3

#### Work Step by Step

$\frac{2}{3}x + \frac{4}{3} = -\frac{2}{3}$
Subtract $\frac{4}{3}$ from both sides:
$\frac{2}{3}x = -\frac{2}{3} - \frac{4}{3}$
$\frac{2}{3}x = -\frac{6}{3}$
$\frac{2}{3}x = -2$
Multiply both sides by the reciprocal of the coefficient, $\frac{3}{2}$:
$\frac{3}{2}(\frac{2}{3}x) = -2*\frac{3}{2}$
x = -3