Answer:
x = -2
Explanation:
Step 1: Write equation
2(x - 6) + 6 = 4x - 2
Step 2: Solve for x
- Distribute 2: 2x - 12 + 6 = 4x - 2
- Combine like terms: 2x - 6 = 4x - 2
- Subtract 2x on both sides: -6 = 2x - 2
- Add 2 to both sides: -4 = 2x
- Divide both sides by 2: -2 = x
- Rewrite: x = -2
Step 3: Check
Plug in x to verify it's a solution.
2(-2 - 6) + 6 = 4(-2) - 2
2(-8) + 6 = -8 - 2
-16 + 6 = -10
-10 = -10