#### Answer

x = -2

#### Work Step by Step

$\frac{4}{5}x - \frac{8}{5} = -\frac{16}{5}$
Add $\frac{8}{5}$ to both sides:
$\frac{4}{5}x = -\frac{16}{5} + \frac{8}{5}$
$\frac{4}{5}x = -\frac{8}{5}$
Multiply both sides by the reciprocal of the coefficient, $\frac{5}{4}$
$\frac{5}{4}(\frac{4}{5}x) = (-\frac{8}{5})\frac{5}{4}$
x = -2