Find three consecutive integers such that 5 times the first and third is 14 greater than 8 times the second. Please show all work.

Let the first integer be N

5*[N + (N+2)] = 8(N+1) + 14
6N + 10 = 8N + 22

Now solve for N.

It will be a good exercise for you to do the remaining steps yourself.

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