1. Factor out a (-1) from the numerator.

-(-1+x)/(x-1)

2. You can now simplify the fraction,

-(+x-1)/(+x-1)

-1/1 (the x-1 is same for both the numerator and denominator, so they can be canceled out)

=-1

which brings you to your answer (-1).

-(-1+x)/(x-1)

2. You can now simplify the fraction,

-(+x-1)/(+x-1)

-1/1 (the x-1 is same for both the numerator and denominator, so they can be canceled out)

=-1

which brings you to your answer (-1).