Simplify (x-2)/(x-1)+(x-2)/(x-1)

$\frac{x - 2}{x - 1} + \frac{x - 2}{x - 1}$

Combine the numerators over the common denominator.

$\frac{x - 2 + x - 2}{x - 1}$

Add $x$ and $x$ .

$\frac{2 x - 2 - 2}{x - 1}$

Subtract $2$ from $- 2$ .

$\frac{2 x - 4}{x - 1}$

Factor $2$ out of $2 x - 4$ .

Factor $2$ out of $2 x$ .

$\frac{2 (x) - 4}{x - 1}$

Factor $2$ out of $- 4$ .

$\frac{2 x + 2 \cdot - 2}{x - 1}$

Factor $2$ out of $2 x + 2 \cdot - 2$ .

$\frac{2 (x - 2)}{x - 1}$