Pre-Algebra Examples

$\frac{1}{4} \cdot (8 - 6 x + 12)$

Step 1

Add $8$ and $12$ .

$\frac{1}{4} \cdot (- 6 x + 20)$

Step 2

Apply the distributive property.

$\frac{1}{4} (- 6 x) + \frac{1}{4} \cdot 20$

Step 3

Cancel the common factor of $2$ .

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Step 3.1

Factor $2$ out of $4$ .

$\frac{1}{2 (2)} (- 6 x) + \frac{1}{4} \cdot 20$

Step 3.2

Factor $2$ out of $- 6 x$ .

$\frac{1}{2 (2)} (2 (- 3 x)) + \frac{1}{4} \cdot 20$

Step 3.3

Cancel the common factor.

$\frac{1}{2 \cdot 2} (2 (- 3 x)) + \frac{1}{4} \cdot 20$

Step 3.4

Rewrite the expression.

$\frac{1}{2} (- 3 x) + \frac{1}{4} \cdot 20$

Step 4

Combine $- 3$ and $\frac{1}{2}$ .

$\frac{- 3}{2} x + \frac{1}{4} \cdot 20$

Step 5

Combine $\frac{- 3}{2}$ and $x$ .

$\frac{- 3 x}{2} + \frac{1}{4} \cdot 20$

Step 6

Cancel the common factor of $4$ .

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Step 6.1

Factor $4$ out of $20$ .

$\frac{- 3 x}{2} + \frac{1}{4} \cdot (4 (5))$

Step 6.2

Cancel the common factor.

$\frac{- 3 x}{2} + \frac{1}{4} \cdot (4 \cdot 5)$

Step 6.3

Rewrite the expression.

$\frac{- 3 x}{2} + 5$

Step 7

Move the negative in front of the fraction.

$- \frac{3 x}{2} + 5$