Answered

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

Verified Answer :

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

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