I think it best to actually do the problem to determine the correct answer.
Clearing out the fractions, I found that
x(x-2) - (x -1) = 2x -5. This results in x=2 and x=3.
However, 2 is not a solution (but is an extraneous solution), because substituting 2 for x in the 2nd term results in div. by zero.
Thus, only the second answer is correct.