Divide (x-5)/(5-x)

$\frac{x - 5}{5 - x}$

Step 1

Factor $- 1$ out of $x$ .

$\frac{- 1 (- x) - 5}{5 - x}$

Step 2

Rewrite $- 5$ as $- 1 (5)$ .

$\frac{- 1 (- x) - 1 (5)}{5 - x}$

Step 3

Factor $- 1$ out of $- 1 (- x) - 1 (5)$ .

$\frac{- 1 (- x + 5)}{5 - x}$

Step 4

Reorder terms.

$\frac{- 1 (- x + 5)}{- x + 5}$

Step 5

Cancel the common factor.

$\frac{- 1 (- x + 5)}{- x + 5}$

Step 6

Divide $- 1$ by $1$ .

$- 1$

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