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\frac{3\left(x-5\right)}{\left(5-x\right)\times 15}
Divide \frac{3}{5-x} by \frac{15}{x-5} by multiplying \frac{3}{5-x} by the reciprocal of \frac{15}{x-5}.
\frac{-3\left(-x+5\right)}{15\left(-x+5\right)}
Extract the negative sign in x-5.
\frac{-1}{5}
Cancel out 3\left(-x+5\right) in both numerator and denominator.
-\frac{1}{5}
Fraction \frac{-1}{5} can be rewritten as -\frac{1}{5} by extracting the negative sign.