Pre-Algebra Examples

$\frac{- 5 x + 20}{4}$

Step 1

Factor $5$ out of $- 5 x + 20$ .

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Step 1.1

Factor $5$ out of $- 5 x$ .

$\frac{5 (- x) + 20}{4}$

Step 1.2

Factor $5$ out of $20$ .

$\frac{5 (- x) + 5 (4)}{4}$

Step 1.3

Factor $5$ out of $5 (- x) + 5 (4)$ .

$\frac{5 (- x + 4)}{4}$

$\frac{5 (- x + 4)}{4}$

Step 2

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

$\frac{5 (- (x) + 4)}{4}$

Step 3

Rewrite $4$ as $- 1 (- 4)$ .

$\frac{5 (- (x) - 1 (- 4))}{4}$

Step 4

Factor $- 1$ out of $- (x) - 1 (- 4)$ .

$\frac{5 (- (x - 4))}{4}$

Step 5

Rewrite $- (x - 4)$ as $- 1 (x - 4)$ .

$\frac{5 (- 1 (x - 4))}{4}$

Step 6

Move the negative in front of the fraction.

$- \frac{5 (x - 4)}{4}$

Step 7

Apply the distributive property.

$- \frac{5 x + 5 \cdot - 4}{4}$

Step 8

Multiply $5$ by $- 4$ .

$- \frac{5 x - 20}{4}$

Step 9

Split the fraction $\frac{5 x - 20}{4}$ into two fractions.

$- (\frac{5 x}{4} + \frac{- 20}{4})$

Step 10

Divide $- 20$ by $4$ .

$- (\frac{5 x}{4} - 5)$

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