#### Answer

x = $-\frac{1}{50}$

#### Work Step by Step

3x + $\frac{5}{16} = \frac{3}{4} - \frac{1}{8}x - \frac{1}{2}$
Combine like terms:
3x + $\frac{5}{16} = \frac{1}{4} - \frac{1}{8}x$
Add $\frac{1}{8}x$ to both sides:
$\frac{25}{8}x + \frac{5}{16} = \frac{1}{4}$
Subtract $\frac{5}{16}$ from both sides:
$\frac{25}{8}x = -\frac{1}{16}$
Multiply both sides by $\frac{8}{25}$
$\frac{8}{25}(\frac{25}{8}x) = -\frac{1}{16}(\frac{8}{25})$
x = $-\frac{1}{50}$