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\frac{\left(4x-12\right)\times 4}{20\left(2x-6\right)}
Divide \frac{4x-12}{20} by \frac{2x-6}{4} by multiplying \frac{4x-12}{20} by the reciprocal of \frac{2x-6}{4}.
\frac{4x-12}{5\left(2x-6\right)}
Cancel out 4 in both numerator and denominator.
\frac{4\left(x-3\right)}{2\times 5\left(x-3\right)}
Factor the expressions that are not already factored.
\frac{2}{5}
Cancel out 2\left(x-3\right) in both numerator and denominator.