SOLUTION: If twice the smallest of three positive consecutive even integers is subtracted from five times the largest, the result is 14 more than two times the middle integer. Find all three

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Question 1000516: If twice the smallest of three positive consecutive even integers is subtracted from five times the largest, the result is 14 more than two times the middle integer. Find all three integers.
Answer by josgarithmetic(39614) About Me  (Show Source):
You can put this solution on YOUR website!
Three consecutive EVEN integers: 2n, 2n+2, 2n+4.

The description: -2%282n%29%2B5%282n%2B4%29=14%2B2%282n%2B2%29, the equation now to solve.

Divide both sides by 2.
-2n%2B5%28n%2B2%29=7%2B2n%2B2
-2n%2B5n%2B10=9%2B2n
3n%2B10=2n%2B9
3n-2n=9-10
highlight_green%28n=-1%29-----------in conflict with the description for "three positive even integers".

Either the description is wrong, or no solution to the problem.
According to n=-1,
the numbers are -2, 0, 2.