Simplify (2x-5)/(5-2x)

$\frac{2 x - 5}{5 - 2 x}$

Step 1

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

$\frac{- (- 2 x) - 5}{5 - 2 x}$

Step 2

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

$\frac{- (- 2 x) - 1 (5)}{5 - 2 x}$

Step 3

Factor $- 1$ out of $- (- 2 x) - 1 (5)$ .

$\frac{- (- 2 x + 5)}{5 - 2 x}$

Step 4

Rewrite $- (- 2 x + 5)$ as $- 1 (- 2 x + 5)$ .

$\frac{- 1 (- 2 x + 5)}{5 - 2 x}$

Step 5

Reorder terms.

$\frac{- 1 (- 2 x + 5)}{- 2 x + 5}$

Step 6

Cancel the common factor.

$\frac{- 1 (- 2 x + 5)}{- 2 x + 5}$

Step 7

Divide $- 1$ by $1$ .

$- 1$

Related Questions