Answer
x = 10
Work Step by Step
$\frac{x}{2} - 1 = \frac{x}{5} + 2$
Subtract $\frac{x}{5}$ from both sides:
$\frac{x}{2} - \frac{x}{5} - 1 = 2$
$\frac{5x}{10} - \frac{2x}{10} - 1 = 2$
$\frac{3x}{10} - 1 = 2$
Add 1 to both sides:
$\frac{3x}{10}$ = 3
Multiply both sides by the reciprocal of the coefficient, $\frac{10}{3}$:
$\frac{10}{3}(\frac{3x}{10}$) = 3($\frac{10}{3}$)
x = 10
