Solution:
1. Given the equation:
9x - 4 = 5x + 12
2. Move all terms involving x to one side of the equation and constant terms to the other side:
9x - 5x = 12 + 4
3. Simplify both sides:
4x = 16
4. Divide both sides by 4 to solve for x:
x = \frac{16}{4}
x = 4