SOLUTION: Trying to find three consecutive even integers such that three times the third is equal to twice the sum of the first and second, plus two. Thank you for your help

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Question 816852: Trying to find three consecutive even integers such that three times the third is equal to twice the sum of the first and second, plus two.
Thank you for your help
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
consecutive even integers: (x-2), x, (x+2)

3(x+2) = 2((x-2) + x)
3x + 6 = 2(2x - 2)
3x + 6 = 4x - 4
10 = x

The integers are 8, 10, and 12.