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

$\frac{3(x - 5)}{2} = \frac{2(x + 5)}{3}$ Distribute: $\frac{3x - 15}{2} = \frac{2x + 10}{3}$ Multiply both sides by the Least Common Denominator, 6: $6(\frac{3x - 15}{2}) = 6(\frac{2x + 10}{3})$ 3(3x - 15) = 2(2x + 10) 9x - 45 = 4x + 20 Subtract 4x from both sides: 5x - 45 = 20 Add 45 to both sides: 5x = 65 Divide both sides by 5: x = 13