#### Answer

x = 13

#### Work Step by Step

$\frac{3(x - 5)}{2} = \frac{2(x + 5)}{3}$
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