SOLUTION: Find three consecutive integers such that the sum of the three is equal to 2 times the sum of the first two integer

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Question 670603: Find three consecutive integers such that the sum of the three is equal to 2 times the sum of the first two integer
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Let the integers be given by x, (x+1), (x+2)
You are told
x+%2B+%28x%2B1%29+%2B+%28x%2B2%29+=+2%2A%28x+%2B+%28x%2B1%29%29
3x%2B3+=+2%2A%282x%2B1%29
3x%2B3+=+4x+%2B+2
1+=+x
So the numbers are 1, 2 and 3
Is 6 = 2*3?