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

x = $\frac{7}{5}$
$\frac{3}{4}x - 1 + \frac{1}{2}x = \frac{5}{12}x + \frac{1}{6}$ Combine like terms: $\frac{5}{4}x - 1 = \frac{5}{12}x + \frac{1}{6}$ Subtract $\frac{5}{12}x$ from both sides: $\frac{10}{12}x - 1 = \frac{1}{6}$ Add 1 to both sides: $\frac{10}{12}x = \frac{7}{6}$ Multiply both sides by $\frac{12}{10}$: $\frac{12}{10}(\frac{10}{12}x) = (\frac{7}{6})\frac{12}{10}$ x = $\frac{7}{5}$