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\frac{3x-6}{7}\times \frac{14x}{x\left(x-2\right)}
Factor the expressions that are not already factored in \frac{14x}{x^{2}-2x}.
\frac{3x-6}{7}\times \frac{14}{x-2}
Cancel out x in both numerator and denominator.
\frac{\left(3x-6\right)\times 14}{7\left(x-2\right)}
Multiply \frac{3x-6}{7} times \frac{14}{x-2} by multiplying numerator times numerator and denominator times denominator.
\frac{2\left(3x-6\right)}{x-2}
Cancel out 7 in both numerator and denominator.
\frac{2\times 3\left(x-2\right)}{x-2}
Factor the expressions that are not already factored.
2\times 3
Cancel out x-2 in both numerator and denominator.
6
Multiply 2 and 3 to get 6.