Simplify (2-6x)/(-9x+3)

$\frac{2 - 6 x}{- 9 x + 3}$

Factor $2$ out of $2 - 6 x$ .

Factor $2$ out of $2$ .

$\frac{2 (1) - 6 x}{- 9 x + 3}$

Factor $2$ out of $- 6 x$ .

$\frac{2 (1) + 2 (- 3 x)}{- 9 x + 3}$

Factor $2$ out of $2 (1) + 2 (- 3 x)$ .

$\frac{2 (1 - 3 x)}{- 9 x + 3}$

$\frac{2 (1 - 3 x)}{- 9 x + 3}$

Factor $3$ out of $- 9 x + 3$ .

Factor $3$ out of $- 9 x$ .

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

Factor $3$ out of $3$ .

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

Factor $3$ out of $3 (- 3 x) + 3 (1)$ .

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

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

Cancel the common factor of $1 - 3 x$ and $- 3 x + 1$ .

Reorder terms.

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{2}{3}$

$\frac{2}{3}$

The result can be shown in multiple forms.

Exact Form:

$\frac{2}{3}$

Decimal Form:

$0.\overline{6}$

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