#### Answer

x = 2

#### Work Step by Step

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