Answer:
x = 2
General Formulas and Concepts:
Pre-Algebra
- Order of Operations: BPEMDAS
- Equality Properties
Explanation:
Step 1: Define equation
-3(x - 1) = x - 5
Step 2: Solve for x
- Distribute -3: -3x + 3 = x - 5
- Add 3x to both sides: 3 = 4x - 5
- Add 5 to both sides: 8 = 4x
- Divide 4 on both sides: 2 = x
- Rewrite: x = 2
Step 3: Check
Plug in x to verify it's a solution.
- Substitute: -3(2 - 1) = 2 - 5
- Subtract: -3(1) = -3
- Multiply: -3 = -3
Here we see that -3 does indeed equal -3.
∴ x = 2 is a solution of the equation.