Solve the following equation. Then, state whether the equation is an identity, a conditional equation, or an inconsistent equation.
5/x−5 = 2+x/x−5
assuming the usual carelessness with parentheses, I'll go with
5/(x-5) = (2+x)/(x-5)
5 = 2+x
x = 3
If, on the other hand, you meant it as written, then the normal order of operations gives.
5/x - 5 = 2 + 1 - 5
5/x = 3
x = 5/3
Remember: It's not my job to figure out what you mean.
It's your job to say it so clearly you cannot be misunderstood.