Answer
x = -6
Work Step by Step
1. Given: $\frac{8x}{3} - \frac{x}{2}$ = -13
2. Multiply both sides by Least Common Denominator:
6($\frac{8x}{3} - \frac{x}{2}$) = -13(6)
3. Distribute: 16x - 3x = -78
4. Simplify: 13x = -78
5. Divide: x = -6