SOLUTION: Using three consecutive integers, such that if three times the first is subtracted from the five times the third, the difference equals eight. Find the second in

Question 791854: Using three consecutive integers, such that
if three times the first is subtracted from the five times the third,
the difference equals eight. Find the
second integer.

Help please?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Using three consecutive integers,
x, (x+1), (x+2)

such that
if three times the first is subtracted from the five times the third,
the difference equals eight.
5(x+2) - 3x = 8
5x + 10 - 3x = 8
5x - 3x = 8 - 10
2x = -2
x = -1
:
Find the second integer.
Add 1 to get the next integer, -1 + 1 = 0 is the 2nd integer
:
:
Check this in the original equation for x = -1
5(-1+2) - 3(-1) = 8
5(1) + 3 = 8
:
:
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