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\frac{5x-12}{5x-5}\left(x-1\right)
Use the distributive property to multiply 5 by x-1.
\frac{\left(5x-12\right)\left(x-1\right)}{5x-5}
Express \frac{5x-12}{5x-5}\left(x-1\right) as a single fraction.
\frac{\left(x-1\right)\left(5x-12\right)}{5\left(x-1\right)}
Factor the expressions that are not already factored.
\frac{5x-12}{5}
Cancel out x-1 in both numerator and denominator.
\frac{5x-12}{5x-5}\left(x-1\right)
Use the distributive property to multiply 5 by x-1.
\frac{\left(5x-12\right)\left(x-1\right)}{5x-5}
Express \frac{5x-12}{5x-5}\left(x-1\right) as a single fraction.
\frac{\left(x-1\right)\left(5x-12\right)}{5\left(x-1\right)}
Factor the expressions that are not already factored.
\frac{5x-12}{5}
Cancel out x-1 in both numerator and denominator.