Simplify -4/7+2/7x-14x+4/7

$- \frac{4}{7} + \frac{2}{7} x - 14 x + \frac{4}{7}$

Combine the opposite terms in $- \frac{4}{7} + \frac{2}{7} x - 14 x + \frac{4}{7}$ .

Add $- \frac{4}{7}$ and $\frac{4}{7}$ .

$\frac{2}{7} x - 14 x + 0$

Add $\frac{2}{7} x - 14 x$ and $0$ .

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

Combine $\frac{2}{7}$ and $x$ .

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

To write $- 14 x$ as a fraction with a common denominator, multiply by $\frac{7}{7}$ .

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

Simplify terms.

Combine $- 14 x$ and $\frac{7}{7}$ .

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

Combine the numerators over the common denominator.

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

Simplify the numerator.

Factor $2 x$ out of $2 x - 14 x \cdot 7$ .

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

$\frac{2 x (1) - 14 x \cdot 7}{7}$

Factor $2 x$ out of $- 14 x \cdot 7$ .

$\frac{2 x (1) + 2 x (- 7 \cdot 7)}{7}$

Factor $2 x$ out of $2 x (1) + 2 x (- 7 \cdot 7)$ .

$\frac{2 x (1 - 7 \cdot 7)}{7}$

Multiply $- 7$ by $7$ .

$\frac{2 x (1 - 49)}{7}$

Subtract $49$ from $1$ .

$\frac{2 x \cdot - 48}{7}$

Multiply $- 48$ by $2$ .

$\frac{- 96 x}{7}$

Move the negative in front of the fraction.

$- \frac{96 x}{7}$