Answer:
x = -8
Explanation:
Step 1: Write equation
3(x + 1) + 11 = -2(x + 13)
Step 2: Solve for x
- Distribute: 3x + 3 + 11 = -2x - 26
- Combine like terms: 3x + 14 = -2x - 26
- Add 2x to both sides: 5x + 14 = -26
- Subtract 14 on both sides: 5x = -40
- Divide both sides by 5: x = -8
Step 3: Check
Plug in x to verify it's a solution.
3(-8 + 1) + 11 = -2(-8 + 13)
3(-7) + 11 = -2(5)
-21 + 11 = -10
-10 = -10