Answer:
4
Step-by-step explanation:
Step 1: Write equation
5x - 2(2x - 1) = 2(3x - 4)
Step 2: Solve for x
- Distribute: 5x - 4x + 2 = 6x - 8
- Combine like terms: x + 2 = 6x - 8
- Subtract x on both sides: 2 = 5x - 8
- Add 8 to both sides: 10 = 5x
- Divide both sides by 5: 2 = x
- Rewrite x = 2
Step 3: Check
Plug in x to verify it's a solution.
5(2) - 2(2(2) - 1) = 2(3(2) - 4)
10 - 2(4 - 1) = 2(6 - 4)
10 - 2(3) = 2(2)
10 - 6 = 4
4 = 4
Here we see that x = 2 is indeed a solution
Step 4: Find 2x
2(2) = 4
