Charlie solved a similar equation below. Is Charlie's solution correct? Explain why or why not.

4x - 3 = 2 (x - 1)

4x - 3 = 2x + 2

2x - 3 = 2

2x = 6

x = 3

Charlie's solution is not correct. This is because when Charlie distributed 2 into (x-1), he got 2x+2. He should have gotten 2x-2 because 2 (-1) is equal to - 2. Also, on Charlie's third step, he should have added three to both sides to get 5, not 6. The correct solution would have been:

4x-3=2 (x-1)

4x-3=2x-2

2x-3=-2

2x=1

x=1/2