Five times the opposite of a number was 56 less than two times the number. What was the number?
x = number
-x = opposite of number
5(-x) + 56 = 2x
-5x +56 = 2x
56 = 7x
8 = x
I think you mean the "reverse" of a number, instead of the "opposite"?? No?.
If that is the case, then the only two-digit number that ALMOST meets your conditions is: 17.
5 x 17 = [2 x 71] - 57(not 56!)
85 =142 - 57
85 = 85
From Wikipedia:
Opposite number or additive inverse of any number (n) is a number which, if added to n, results in 0, the identity element of addition. The opposite number for n is written as −n. ... You can say that the opposite number of a number, is the negative version of the positive number.