SOLUTION: the sum of an even integer and twice the next greater even integer is eight more than four times the greater integer. find the lesser integer.

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Question 381183: the sum of an even integer and twice the next greater even integer is eight more than four times the greater integer. find the lesser integer.
Answer by neatmath(302) About Me  (Show Source):
You can put this solution on YOUR website!

Let x be the first even integer. Then the next even integer is x+2

So we have:

x%2B2%2A%28x%2B2%29=8%2B4%2A%28x%2B2%29

x%2B2x%2B4=8%2B4x%2B8

3x%2B4=4x%2B16

x=-12

The first even integer is thus -12

I hope this helps!