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

$\frac{x}{5} - 7 = \frac{x}{3} - 5$ Subtract $\frac{x}{3}$ from both sides: $\frac{x}{5} - \frac{x}{3} - 7 = -5$ $\frac{3x}{15} - \frac{5x}{15} - 7 = -5$ $\frac{-2x}{15} - 7 = -5$ Add 7 to both sides: $\frac{-2x}{15} = 2$ Multiply both sides by the reciprocal, $-\frac{15}{2}$: $-\frac{15}{2}(\frac{-2x}{15}) = 2(-\frac{15}{2}$) x = -15