Divide (3x-6)/(6-3x)

$\frac{3 x - 6}{6 - 3 x}$

Step 1

Cancel the common factor of $3 x - 6$ and $6 - 3 x$ .

Factor $3$ out of $3 x$ .

$\frac{3 (x) - 6}{6 - 3 x}$

Factor $3$ out of $- 6$ .

$\frac{3 (x) + 3 (- 2)}{6 - 3 x}$

Factor $3$ out of $3 (x) + 3 (- 2)$ .

$\frac{3 (x - 2)}{6 - 3 x}$

Cancel the common factors.

Factor $3$ out of $6$ .

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

Factor $3$ out of $- 3 x$ .

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

Factor $3$ out of $3 (2) + 3 (- x)$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Step 2

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.

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

Divide $- 1$ by $1$ .

$- 1$

$- 1$

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