Algebra Examples

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

Step 1

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

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Step 1.1

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

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

Step 1.2

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

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

Step 2

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

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

Step 3

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

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

Step 4

Simplify terms.

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Step 4.1

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

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

Step 4.2

Combine the numerators over the common denominator.

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

Step 5

Simplify the numerator.

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Step 5.1

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

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Step 5.1.1

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

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

Step 5.1.2

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

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

Step 5.1.3

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

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

Step 5.2

Multiply $- 7$ by $7$ .

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

Step 5.3

Subtract $49$ from $1$ .

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

Step 5.4

Multiply $- 48$ by $2$ .

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

Step 6

Move the negative in front of the fraction.

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