Answer
x = $\frac{7}{5}$
Work Step by Step
$\frac{3}{4}x - 1 + \frac{1}{2}x = \frac{5}{12}x + \frac{1}{6}$
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 = $\frac{7}{5}$
