Answer
x = 3
Work Step by Step
1. Given:
$\frac{x - 10}{5} + \frac{2}{5}$ = -$\frac{x}{3}$
2. Multiply by LCD (15):
15($\frac{x - 10}{5} + \frac{2}{5}$) = (-$\frac{x}{3}$)15
3. Use distributive property to multiply:
3(x - 10) + 3(2) = -5x
3x - 30 + 6 = -5x
4. Add and subtract: 8x = 24
5. Divide: x = 3
6. Check: $\frac{3 - 10}{5} + \frac{3}{5}$ = -$\frac{3}{3}$
-1 = -1, so 3 is a solution of the equation.
