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\frac{-x+5}{2\left(x-5\right)}
Factor the expressions that are not already factored.
\frac{-\left(x-5\right)}{2\left(x-5\right)}
Extract the negative sign in 5-x.
\frac{-1}{2}
Cancel out x-5 in both numerator and denominator.
-\frac{1}{2}
Fraction \frac{-1}{2} can be rewritten as -\frac{1}{2} by extracting the negative sign.