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\frac{x-6}{3x+12}\times \frac{5\left(x+4\right)}{5\left(x-6\right)}
Factor the expressions that are not already factored in \frac{5x+20}{5x-30}.
\frac{x-6}{3x+12}\times \frac{x+4}{x-6}
Cancel out 5 in both numerator and denominator.
\frac{\left(x-6\right)\left(x+4\right)}{\left(3x+12\right)\left(x-6\right)}
Multiply \frac{x-6}{3x+12} times \frac{x+4}{x-6} by multiplying numerator times numerator and denominator times denominator.
\frac{x+4}{3x+12}
Cancel out x-6 in both numerator and denominator.
\frac{x+4}{3\left(x+4\right)}
Factor the expressions that are not already factored.
\frac{1}{3}
Cancel out x+4 in both numerator and denominator.