Simplify (x-2)/(2-x)

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

Step 1

Factor $- 1$ out of $x$ .

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

Step 2

Rewrite $- 2$ as $- 1 (2)$ .

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

Step 3

Factor $- 1$ out of $- 1 (- x) - 1 (2)$ .

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

Step 4

Reorder terms.

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

Step 5

Cancel the common factor.

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

Step 6

Divide $- 1$ by $1$ .

$- 1$

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