Answer
x = $\frac{15}{2}$
Work Step by Step
$\frac{5}{9}x + 2 - \frac{1}{6}x = \frac{11}{18}x + \frac{1}{3}$
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 = $\frac{15}{2}$
