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\frac{\left(x-8\right)\times 2x}{x-1}
Divide x-8 by \frac{x-1}{2x} by multiplying x-8 by the reciprocal of \frac{x-1}{2x}.
\frac{\left(2x-16\right)x}{x-1}
Use the distributive property to multiply x-8 by 2.
\frac{2x^{2}-16x}{x-1}
Use the distributive property to multiply 2x-16 by x.
\frac{\left(x-8\right)\times 2x}{x-1}
Divide x-8 by \frac{x-1}{2x} by multiplying x-8 by the reciprocal of \frac{x-1}{2x}.
\frac{\left(2x-16\right)x}{x-1}
Use the distributive property to multiply x-8 by 2.
\frac{2x^{2}-16x}{x-1}
Use the distributive property to multiply 2x-16 by x.