Solution:
1. Simplify both sides of the equation.
- Left side: 4x + (x - 3) = 4x + x - 3 = 5x - 3
- Right side: 2x - (3x - 4) + 5 = 2x - 3x + 4 + 5 = -x + 9
2. The equation is now: 5x - 3 = -x + 9
3. Add x to both sides to eliminate the -x from the right side and simplify:
5x + x - 3 = 9
4. Simplify:
6x - 3 = 9
5. Add 3 to both sides to isolate terms with x:
6x = 9 + 3
6. Simplify:
6x = 12
7. Divide both sides by 6 to solve for x:
x = \frac{12}{6}
8. Simplify the fraction:
x = 2