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\frac{\left(x-5\right)\times 12}{6\left(2x-10\right)}
Divide \frac{x-5}{6} by \frac{2x-10}{12} by multiplying \frac{x-5}{6} by the reciprocal of \frac{2x-10}{12}.
\frac{2\left(x-5\right)}{2x-10}
Cancel out 6 in both numerator and denominator.
\frac{2\left(x-5\right)}{2\left(x-5\right)}
Factor the expressions that are not already factored.
1
Cancel out 2\left(x-5\right) in both numerator and denominator.