Simplify (-16x)/7*14/(8x-16)

$\frac{- 16 x}{7} \cdot \frac{14}{8 x - 16}$

Step 1

Factor $8$ out of $8 x - 16$ .

Factor $8$ out of $8 x$ .

$\frac{- 16 x}{7} \cdot \frac{14}{8 (x) - 16}$

Factor $8$ out of $- 16$ .

$\frac{- 16 x}{7} \cdot \frac{14}{8 x + 8 \cdot - 2}$

Factor $8$ out of $8 x + 8 \cdot - 2$ .

$\frac{- 16 x}{7} \cdot \frac{14}{8 (x - 2)}$

$\frac{- 16 x}{7} \cdot \frac{14}{8 (x - 2)}$

Step 2

Cancel the common factor of $8$ .

Factor $8$ out of $- 16 x$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

Step 3

Cancel the common factor of $7$ .

Factor $7$ out of $14$ .

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

Cancel the common factor.

$\frac{- 2 x}{7} \cdot \frac{7 \cdot 2}{x - 2}$

Rewrite the expression.

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

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

Step 4

Combine $- 2$ and $\frac{2}{x - 2}$ .

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

Step 5

Multiply $- 2$ by $2$ .

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

Step 6

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

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

Step 7

Simplify the expression.

Move $- 4$ to the left of $x$ .

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

Move the negative in front of the fraction.

$- \frac{4 x}{x - 2}$

$- \frac{4 x}{x - 2}$

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