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\frac{8x}{x-1}-\frac{6x}{x-1}
Cancel out x in both numerator and denominator.
\frac{8x-6x}{x-1}
Since \frac{8x}{x-1} and \frac{6x}{x-1} have the same denominator, subtract them by subtracting their numerators.
\frac{2x}{x-1}
Combine like terms in 8x-6x.
\frac{8x}{x-1}-\frac{6x}{x-1}
Cancel out x in both numerator and denominator.
\frac{8x-6x}{x-1}
Since \frac{8x}{x-1} and \frac{6x}{x-1} have the same denominator, subtract them by subtracting their numerators.
\frac{2x}{x-1}
Combine like terms in 8x-6x.