Answer
x = 11
Work Step by Step
1. Given:
$\frac{3x + 2}{7} - \frac{x + 4}{5}$= 2
2. Multiply by LCD (35):
35($\frac{3x + 2}{7} - \frac{x + 4}{5}$) = 2(35)
3. Use distributive property to multiply:
5(3x + 2) - 7(x + 4) = 70
15x + 10 - 7x - 28 = 70
4. Add and subtract: 8x = 88
5. Divide: x = 11
6. Check: $\frac{3*11 + 2}{7} - \frac{11 + 4}{5}$= 2
2 = 2, so 11 is a solution of the equation.
