Answer:
x = -5
Step-by-step explanation:
Step 1: Write equation
3x + 4 = 12(x + 2) - 5x
Step 2: Solve for x
- Distribute 12: 3x + 4 = 12x + 24 - 5x
- Combine like terms: 3x + 4 = 7x + 24
- Subtract 3x on both sides: 4 = 4x + 24
- Subtract 24 on both sides: -20 = 4x
- Divide both sides by 4: -5 = x
- Rewrite: x = -5
Step 3: Check
Plug in x to verify it's a solution.
3(-5) + 4 = 12(-5 + 2) - 5(-5)
-15 + 4 = 12(-3) + 25
-11 = -36 + 25
-11 = -11
