Simplify ((14x-28)/(2x))(8/7)

$(\frac{14 x - 28}{2 x}) (\frac{8}{7})$

Step 1

Factor $14$ out of $14 x - 28$ .

Factor $14$ out of $14 x$ .

$\frac{14 (x) - 28}{2 x} \cdot \frac{8}{7}$

Factor $14$ out of $- 28$ .

$\frac{14 x + 14 \cdot - 2}{2 x} \cdot \frac{8}{7}$

Factor $14$ out of $14 x + 14 \cdot - 2$ .

$\frac{14 (x - 2)}{2 x} \cdot \frac{8}{7}$

$\frac{14 (x - 2)}{2 x} \cdot \frac{8}{7}$

Step 2

Cancel the common factor of $7$ .

Factor $7$ out of $14 (x - 2)$ .

$\frac{7 (2 (x - 2))}{2 x} \cdot \frac{8}{7}$

Cancel the common factor.

$\frac{7 (2 (x - 2))}{2 x} \cdot \frac{8}{7}$

Rewrite the expression.

$\frac{2 (x - 2)}{2 x} \cdot 8$

$\frac{2 (x - 2)}{2 x} \cdot 8$

Step 3

Cancel the common factor of $2$ .

Factor $2$ out of $2 x$ .

$\frac{2 (x - 2)}{2 (x)} \cdot 8$

Factor $2$ out of $8$ .

$\frac{2 (x - 2)}{2 (x)} \cdot (2 (4))$

Cancel the common factor.

$\frac{2 (x - 2)}{2 x} \cdot (2 \cdot 4)$

Rewrite the expression.

$\frac{2 (x - 2)}{x} \cdot 4$

$\frac{2 (x - 2)}{x} \cdot 4$

Step 4

Combine $\frac{2 (x - 2)}{x}$ and $4$ .

$\frac{2 (x - 2) \cdot 4}{x}$

Step 5

Multiply $4$ by $2$ .

$\frac{8 (x - 2)}{x}$

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