The line that contains an error is option B. The equation 2x8 + 4x = 3x + 6-1 contains a typo. The correct line is A. 2(x - 4) + 4x = 3(x + 2) - 1, with a solution of x = 5/3. The correct option is A.
The line that contains an error is option B. The equation 2x8 + 4x = 3x + 6-1 contains a typo where there shouldn't be an 8 between 2x and +4x. It should be 2x + 4x = 3x + 6-1.
Step-by-step calculation:
- Original equation: 2x8 + 4x = 3x + 6-1
- Combine like terms on both sides: 2x + 4x = 3x + 6-1
- Simplify: 6x = 3x + 5
- Subtract 3x from both sides: 6x - 3x = 3x + 5 - 3x
- Simplify: 3x = 5
- Divide both sides by 3: x = 5/3
Therefore, the correct line is A. 2(x - 4) + 4x = 3(x + 2) - 1, which is error-free and the solution is x = 5/3.