Pre-Algebra Examples

$\frac{- 10 - 2 x}{5}$

Step 1

Factor $2$ out of $- 10 - 2 x$ .

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Step 1.1

Factor $2$ out of $- 10$ .

$\frac{2 (- 5) - 2 x}{5}$

Step 1.2

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

$\frac{2 (- 5) + 2 (- x)}{5}$

Step 1.3

Factor $2$ out of $2 (- 5) + 2 (- x)$ .

$\frac{2 (- 5 - x)}{5}$

$\frac{2 (- 5 - x)}{5}$

Step 2

Rewrite $- 5$ as $- 1 (5)$ .

$\frac{2 (- 1 (5) - x)}{5}$

Step 3

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

$\frac{2 (- 1 (5) - (x))}{5}$

Step 4

Factor $- 1$ out of $- 1 (5) - (x)$ .

$\frac{2 (- 1 (5 + x))}{5}$

Step 5

Move the negative in front of the fraction.

$- \frac{2 (5 + x)}{5}$

Step 6

Apply the distributive property.

$- \frac{2 \cdot 5 + 2 x}{5}$

Step 7

Multiply $2$ by $5$ .

$- \frac{10 + 2 x}{5}$

Step 8

Split the fraction $\frac{10 + 2 x}{5}$ into two fractions.

$- (\frac{10}{5} + \frac{2 x}{5})$

Step 9

Divide $10$ by $5$ .

$- (2 + \frac{2 x}{5})$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$