Simplify (-26x)/(39-13x)

$\frac{- 26 x}{39 - 13 x}$

Step 1

Cancel the common factor of $- 26$ and $39 - 13 x$ .

Factor $13$ out of $- 26 x$ .

$\frac{13 (- 2 x)}{39 - 13 x}$

Cancel the common factors.

Factor $13$ out of $39$ .

$\frac{13 (- 2 x)}{13 (3) - 13 x}$

Factor $13$ out of $- 13 x$ .

$\frac{13 (- 2 x)}{13 (3) + 13 (- x)}$

Factor $13$ out of $13 (3) + 13 (- x)$ .

$\frac{13 (- 2 x)}{13 (3 - x)}$

Cancel the common factor.

$\frac{13 (- 2 x)}{13 (3 - x)}$

Rewrite the expression.

$\frac{- 2 x}{3 - x}$

Step 2

Move the negative in front of the fraction.

$- \frac{2 x}{3 - x}$