Simplify (10-2x)/7*14/(5x-25)

$\frac{10 - 2 x}{7} \cdot \frac{14}{5 x - 25}$

Step 1

Simplify terms.

Factor $2$ out of $10 - 2 x$ .

Factor $2$ out of $10$ .

$\frac{2 (5) - 2 x}{7} \cdot \frac{14}{5 x - 25}$

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

$\frac{2 (5) + 2 (- x)}{7} \cdot \frac{14}{5 x - 25}$

Factor $2$ out of $2 (5) + 2 (- x)$ .

$\frac{2 (5 - x)}{7} \cdot \frac{14}{5 x - 25}$

Factor $5$ out of $5 x - 25$ .

Factor $5$ out of $5 x$ .

$\frac{2 (5 - x)}{7} \cdot \frac{14}{5 (x) - 25}$

Factor $5$ out of $- 25$ .

$\frac{2 (5 - x)}{7} \cdot \frac{14}{5 x + 5 \cdot - 5}$

Factor $5$ out of $5 x + 5 \cdot - 5$ .

$\frac{2 (5 - x)}{7} \cdot \frac{14}{5 (x - 5)}$

Cancel the common factor of $7$ .

Factor $7$ out of $14$ .

$\frac{2 (5 - x)}{7} \cdot \frac{7 (2)}{5 (x - 5)}$

Cancel the common factor.

$\frac{2 (5 - x)}{7} \cdot \frac{7 \cdot 2}{5 (x - 5)}$

Rewrite the expression.

$2 (5 - x) \cdot \frac{2}{5 (x - 5)}$

Combine $\frac{2}{5 (x - 5)}$ and $2$ .

$\frac{2 \cdot 2}{5 (x - 5)} (5 - x)$

Multiply $2$ by $2$ .

$\frac{4}{5 (x - 5)} (5 - x)$

Multiply $\frac{4}{5 (x - 5)}$ by $5 - x$ .

$\frac{4 (5 - x)}{5 (x - 5)}$

Cancel the common factor of $5 - x$ and $x - 5$ .

Rewrite $5$ as $- 1 (- 5)$ .

$\frac{4 (- 1 (- 5) - x)}{5 (x - 5)}$

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

$\frac{4 (- 1 (- 5) - (x))}{5 (x - 5)}$

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

$\frac{4 (- 1 (- 5 + x))}{5 (x - 5)}$

Reorder terms.

$\frac{4 (- 1 (x - 5))}{5 (x - 5)}$

Cancel the common factor.

$\frac{4 (- 1 (x - 5))}{5 (x - 5)}$

Rewrite the expression.

$\frac{4 \cdot (- 1)}{5}$

Step 2

Multiply $4$ by $- 1$ .

$\frac{- 4}{5}$

Step 3

Move the negative in front of the fraction.

$- \frac{4}{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- \frac{4}{5}$

Decimal Form:

$- 0.8$

Simplify (10-2x)/7*14/(5x-25)

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