Simplify (5-5x)/(9x^2-9x)

$\frac{5 - 5 x}{9 x^{2} - 9 x}$

Simplify terms.

Factor $5$ out of $5 - 5 x$ .

Factor $5$ out of $5$ .

$\frac{5 (1) - 5 x}{9 x^{2} - 9 x}$

Factor $5$ out of $- 5 x$ .

$\frac{5 (1) + 5 (- x)}{9 x^{2} - 9 x}$

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

$\frac{5 (1 - x)}{9 x^{2} - 9 x}$

$\frac{5 (1 - x)}{9 x^{2} - 9 x}$

Factor $9 x$ out of $9 x^{2} - 9 x$ .

Factor $9 x$ out of $9 x^{2}$ .

$\frac{5 (1 - x)}{9 x (x) - 9 x}$

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

$\frac{5 (1 - x)}{9 x (x) + 9 x (- 1)}$

Factor $9 x$ out of $9 x (x) + 9 x (- 1)$ .

$\frac{5 (1 - x)}{9 x (x - 1)}$

$\frac{5 (1 - x)}{9 x (x - 1)}$

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

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

$\frac{5 (- 1 (- 1) - x)}{9 x (x - 1)}$

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

$\frac{5 (- 1 (- 1) - (x))}{9 x (x - 1)}$

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

$\frac{5 (- 1 (- 1 + x))}{9 x (x - 1)}$

Reorder terms.

$\frac{5 (- 1 (x - 1))}{9 x (x - 1)}$

Cancel the common factor.

$\frac{5 (- 1 (x - 1))}{9 x (x - 1)}$

Rewrite the expression.

$\frac{5 \cdot (- 1)}{9 x}$

$\frac{5 \cdot (- 1)}{9 x}$

$\frac{5 \cdot (- 1)}{9 x}$

Multiply $5$ by $- 1$ .

$\frac{- 5}{9 x}$

Move the negative in front of the fraction.

$- \frac{5}{9 x}$

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