Answer:
x = 30
General Formulas and Concepts:
Pre-Alg
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
Step 1: Define equation
8x - 3(2x - 4) = 3(x - 6)
Step 2: Solve for x
- Distribute: 8x - 6x + 12 = 3x - 18
- Combine like terms: 2x + 12 = 3x - 18
- Subtract 2x on both sides: 12 = x - 18
- Add 18 to both sides: 30 = x
- Rewrite: x = 30
Step 3: Check
Plug in x to verify it's a solution.
- Substitute: 8(30) - 3(2(30) - 4) = 3(30 - 6)
- Multiply: 240 - 3(60 - 4) = 3(30 - 6)
- Subtract: 240 - 3(56) = 3(24)
- Multiply: 240 - 168 = 72
- Subtract: 72 = 72
