Answer
x = 3
Work Step by Step
1. Given:
$\frac{3x - 1}{4} + \frac{x + 3}{6}$= 3
2. Multiply by LCD (12):
12($\frac{3x - 1}{4} + \frac{x + 3}{6}$) = 3(12)
3. Use distributive property to multiply:
3(3x - 1) + 2(x + 3) = 36
9x - 3 + 2x + 6 = 36
4. Add and subtract: 11x = 33
5. Divide: x = 3
6. Check: $\frac{3*3 - 1}{4} + \frac{3 + 3}{6}$= 3
3 = 3, so 3 is a solution of the equation.
