Answer:
x = -2
General Formulas and Concepts:
Order of Operations: BPEMDAS
Step-by-step explanation:
Step 1: Define equation
x - 5(-x + 1) - 3x - 1 = -12
Step 2: Solve for x
- Distribute -5: x + 5x - 5 - 3x - 1 = -12
- Combine like terms: 3x - 6 = -12
- Add 6 to both sides: 3x = -6
- Divide 3 on both sides: x = -2
Step 3: Check
Plug in x to verify it's a solution.
- Substitute: -2 - 5(-(-2) + 1) - 3(-2) - 1 = -12
- Multiply: -2 - 5(2 + 1) + 6 - 1 = -12
- Add: -2 - 5(3) + 6 - 1 = -12
- Multiply: -2 - 15 + 6 - 1 = -12
- Subtract: -17 + 6 - 1 = -12
- Add: -11 - 1 = -12
- Subtract: -12 = -12
