[tex]\bf \cfrac{\quad \frac{3}{x-1}-4\quad }{2-\frac{2}{x-1}}\implies \cfrac{\quad \frac{3-4(x-1)}{x-1}\quad }{\frac{2(x-1)-2}{x-1}}\implies \cfrac{\quad \frac{3-4x+4}{x-1}\quad }{\frac{2x-2-2}{x-1}}\implies \cfrac{\quad \frac{7-4x}{x-1}\quad }{\frac{2x-4}{x-1}}
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\cfrac{7-4x}{\underline{x-1}}\cdot \cfrac{\underline{x-1}}{2x-4}\implies \cfrac{7-4x}{2x-4}\implies \cfrac{-4x+7}{2(x-2)}[/tex]
