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\frac{-3x\left(x-1\right)}{x-1}-\frac{x}{x-1}
To add or subtract expressions, expand them to make their denominators the same. Multiply -3x times \frac{x-1}{x-1}.
\frac{-3x\left(x-1\right)-x}{x-1}
Since \frac{-3x\left(x-1\right)}{x-1} and \frac{x}{x-1} have the same denominator, subtract them by subtracting their numerators.
\frac{-3x^{2}+3x-x}{x-1}
Do the multiplications in -3x\left(x-1\right)-x.
\frac{-3x^{2}+2x}{x-1}
Combine like terms in -3x^{2}+3x-x.