## Algebra: A Combined Approach (4th Edition)

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