Pre-Algebra Examples

$\frac{- 2 x + 24}{8}$

Step 1

Cancel the common factor of $- 2 x + 24$ and $8$ .

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Step 1.1

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

$\frac{2 (- x) + 24}{8}$

Step 1.2

Factor $2$ out of $24$ .

$\frac{2 (- x) + 2 (12)}{8}$

Step 1.3

Factor $2$ out of $2 (- x) + 2 (12)$ .

$\frac{2 (- x + 12)}{8}$

Step 1.4

Cancel the common factors.

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Step 1.4.1

Factor $2$ out of $8$ .

$\frac{2 (- x + 12)}{2 (4)}$

Step 1.4.2

Cancel the common factor.

$\frac{2 (- x + 12)}{2 \cdot 4}$

Step 1.4.3

Rewrite the expression.

$\frac{- x + 12}{4}$

Step 2

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

$\frac{- (x) + 12}{4}$

Step 3

Rewrite $12$ as $- 1 (- 12)$ .

$\frac{- (x) - 1 (- 12)}{4}$

Step 4

Factor $- 1$ out of $- (x) - 1 (- 12)$ .

$\frac{- (x - 12)}{4}$

Step 5

Rewrite $- (x - 12)$ as $- 1 (x - 12)$ .

$\frac{- 1 (x - 12)}{4}$

Step 6

Move the negative in front of the fraction.

$- \frac{x - 12}{4}$

Step 7

Split the fraction $\frac{x - 12}{4}$ into two fractions.

$- (\frac{x}{4} + \frac{- 12}{4})$

Step 8

Divide $- 12$ by $4$ .

$- (\frac{x}{4} - 3)$