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

x = $\frac{5}{6}$
$\frac{5}{2}x - 1 = x + \frac{1}{4}$ Subtract x from both sides: $\frac{3}{2}x - 1 = \frac{1}{4}$ Add 1 to both sides: $\frac{3}{2}x = 1 \frac{1}{4}$ Multiply both sides by the reciprocal of the coefficient, $\frac{2}{3}$ $\frac{2}{3}(\frac{3}{2}x) = (1 \frac{1}{4})\frac{2}{3}$ Simplify: x = $(\frac{5}{4})\frac{2}{3}$ x = $\frac{5}{6}$