Algebra Examples

$\frac{3}{14} x + (- 1) + (- 4) - \frac{2}{7} x$

Step 1

Remove parentheses.

$\frac{3}{14} x - 1 - 4 - \frac{2}{7} x$

Step 2

Simplify each term.

Tap for more steps...

Step 2.1

Combine $\frac{3}{14}$ and $x$ .

$\frac{3 x}{14} - 1 - 4 - \frac{2}{7} x$

Step 2.2

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

$\frac{3 x}{14} - 1 - 4 - \frac{x \cdot 2}{7}$

Step 2.3

Move $2$ to the left of $x$ .

$\frac{3 x}{14} - 1 - 4 - \frac{2 x}{7}$

Step 3

To write $- \frac{2 x}{7}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{3 x}{14} - \frac{2 x}{7} \cdot \frac{2}{2} - 1 - 4$

Step 4

Write each expression with a common denominator of $14$ , by multiplying each by an appropriate factor of $1$ .

Tap for more steps...

Step 4.1

Multiply $\frac{2 x}{7}$ by $\frac{2}{2}$ .

$\frac{3 x}{14} - \frac{2 x \cdot 2}{7 \cdot 2} - 1 - 4$

Step 4.2

Multiply $7$ by $2$ .

$\frac{3 x}{14} - \frac{2 x \cdot 2}{14} - 1 - 4$

Step 5

Combine the numerators over the common denominator.

$\frac{3 x - 2 x \cdot 2}{14} - 1 - 4$

Step 6

Find the common denominator.

Tap for more steps...

Step 6.1

Write $- 1$ as a fraction with denominator $1$ .

$\frac{3 x - 2 x \cdot 2}{14} + \frac{- 1}{1} - 4$

Step 6.2

Multiply $\frac{- 1}{1}$ by $\frac{14}{14}$ .

$\frac{3 x - 2 x \cdot 2}{14} + \frac{- 1}{1} \cdot \frac{14}{14} - 4$

Step 6.3

Multiply $\frac{- 1}{1}$ by $\frac{14}{14}$ .

$\frac{3 x - 2 x \cdot 2}{14} + \frac{- 1 \cdot 14}{14} - 4$

Step 6.4

Write $- 4$ as a fraction with denominator $1$ .

$\frac{3 x - 2 x \cdot 2}{14} + \frac{- 1 \cdot 14}{14} + \frac{- 4}{1}$

Step 6.5

Multiply $\frac{- 4}{1}$ by $\frac{14}{14}$ .

$\frac{3 x - 2 x \cdot 2}{14} + \frac{- 1 \cdot 14}{14} + \frac{- 4}{1} \cdot \frac{14}{14}$

Step 6.6

Multiply $\frac{- 4}{1}$ by $\frac{14}{14}$ .

$\frac{3 x - 2 x \cdot 2}{14} + \frac{- 1 \cdot 14}{14} + \frac{- 4 \cdot 14}{14}$

Step 7

Combine the numerators over the common denominator.

$\frac{3 x - 2 x \cdot 2 - 1 \cdot 14 - 4 \cdot 14}{14}$

Step 8

Simplify each term.

Tap for more steps...

Step 8.1

Multiply $2$ by $- 2$ .

$\frac{3 x - 4 x - 1 \cdot 14 - 4 \cdot 14}{14}$

Step 8.2

Multiply $- 1$ by $14$ .

$\frac{3 x - 4 x - 14 - 4 \cdot 14}{14}$

Step 8.3

Multiply $- 4$ by $14$ .

$\frac{3 x - 4 x - 14 - 56}{14}$

Step 9

Simplify terms.

Tap for more steps...

Step 9.1

Subtract $4 x$ from $3 x$ .

$\frac{- x - 14 - 56}{14}$

Step 9.2

Subtract $56$ from $- 14$ .

$\frac{- x - 70}{14}$

Step 9.3

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

$\frac{- (x) - 70}{14}$

Step 9.4

Rewrite $- 70$ as $- 1 (70)$ .

$\frac{- (x) - 1 (70)}{14}$

Step 9.5

Factor $- 1$ out of $- (x) - 1 (70)$ .

$\frac{- (x + 70)}{14}$

Step 9.6

Simplify the expression.

Tap for more steps...

Step 9.6.1

Rewrite $- (x + 70)$ as $- 1 (x + 70)$ .

$\frac{- 1 (x + 70)}{14}$

Step 9.6.2

Move the negative in front of the fraction.

$- \frac{x + 70}{14}$