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\frac{-7x}{x-1}-\frac{3x}{x-1}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 1-x and x-1 is x-1. Multiply \frac{7x}{1-x} times \frac{-1}{-1}.
\frac{-7x-3x}{x-1}
Since \frac{-7x}{x-1} and \frac{3x}{x-1} have the same denominator, subtract them by subtracting their numerators.
\frac{-10x}{x-1}
Combine like terms in -7x-3x.