Answer:
x = 3
Step-by-step explanation:
Step 1: Write equation
3x - 10 + 4x = -2(x - 4) + 9
Step 2: Solve for x
- Distribute -2: 3x - 10 + 4x = -2x + 8 + 9
- Combine like terms: 7x - 10 = -2x + 17
- Add 2x to both sides: 9x - 10 = 17
- Add 10 to both sides: 9x = 27
- Divide both sides by 9: x = 3
Step 3: Check
Plug in x to verify it's a solution.
3(3) - 10 + 4(3) = -2(3 - 4) + 9
9 - 10 + 12 = -2(-1) + 9
-1 + 12 = 2 + 9
11 = 11
