Simplify (2x)/(-4x+5)

$\frac{2 x}{- 4 x + 5}$

Step 1

Factor $- 1$ out of $- 4 x$ .

$\frac{2 x}{- (4 x) + 5}$

Step 2

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

$\frac{2 x}{- (4 x) - 1 (- 5)}$

Step 3

Factor $- 1$ out of $- (4 x) - 1 (- 5)$ .

$\frac{2 x}{- (4 x - 5)}$

Step 4

Rewrite negatives.

Rewrite $- (4 x - 5)$ as $- 1 (4 x - 5)$ .

$\frac{2 x}{- 1 (4 x - 5)}$

Move the negative in front of the fraction.

$- \frac{2 x}{4 x - 5}$

$- \frac{2 x}{4 x - 5}$

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