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

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

Step 1

Cancel the common factor of $x - 2$ and $2 - x$ .

Factor $- 1$ out of $x$ .

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

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

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

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

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

Reorder terms.

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{- 1}{- 1}$

Move the negative one from the denominator of $\frac{- 1}{- 1}$ .

$- 1 \cdot - 1$

Step 2

Simplify the expression.

Rewrite $- 1 \cdot - 1$ as $- - 1$ .

$- - 1$

Multiply $- 1$ by $- 1$ .

$1$