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

x = $\frac{15}{2}$
$\frac{5}{9}x + 2 - \frac{1}{6}x = \frac{11}{18}x + \frac{1}{3}$ Combine like terms: $\frac{7}{18}x + 2 = \frac{11}{18}x + \frac{1}{3}$ Subtract $\frac{11}{18}x$ from both sides: $-\frac{4}{18}x + 2 = \frac{1}{3}$ $-\frac{2}{9}x + 2 = \frac{1}{3}$ Subtract 2 from both sides: $-\frac{2}{9}x = -\frac{5}{3}$ Multiply both sides by $-\frac{9}{2}$: $-\frac{9}{2}(-\frac{2}{9}x) = (-\frac{5}{3})(-\frac{9}{2})$ x = $\frac{15}{2}$