Answer:
x = 1/5
Step-by-step explanation:
Step 1: Write equation
-5x - (-7 - 4x) = -2(3x - 4)
Step 2: Solve for x
- Distribute: -5x + 7 + 4x = -6x + 8
- Combine like terms: -x + 7 = -6x + 8
- Add 6x to both sides: 5x + 7 = 8
- Subtract 7 on both sides: 5x = 1
- Divide by 5 on both sides: x = 1/5
Step 3: Check
Plug in x to verify it's a solution.
-5(1/5) - (-7 - 4(1/5)) = -2(3(1/5) - 4)
-1 - (-7 - 4/5) = -2(3/5 - 4)
-1 - (-39/5) = -2(-17/5)
-1 + 39/5 = 34/5
34/5 = 34/5
