Divide (3x-6)/(2-x)

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

Step 1

Factor $3$ out of $3 x - 6$ .

Factor $3$ out of $3 x$ .

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

Factor $3$ out of $- 6$ .

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

Factor $3$ out of $3 x + 3 \cdot - 2$ .

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

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

Step 2

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

Factor $- 1$ out of $x$ .

$\frac{3 (- 1 (- x) - 2)}{2 - x}$

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

$\frac{3 (- 1 (- x) - 1 (2))}{2 - x}$

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

$\frac{3 (- 1 (- x + 2))}{2 - x}$

Reorder terms.

$\frac{3 (- 1 (- x + 2))}{- x + 2}$

Cancel the common factor.

$\frac{3 (- 1 (- x + 2))}{- x + 2}$

Divide $3 \cdot (- 1)$ by $1$ .

$3 \cdot (- 1)$

$3 \cdot (- 1)$

Step 3

Multiply $3$ by $- 1$ .

$- 3$

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