Simplify 1/4(8-6x+12)

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

Step 1

Simplify terms.

Add $8$ and $12$ .

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

Apply the distributive property.

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

Cancel the common factor of $2$ .

Factor $2$ out of $4$ .

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

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

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

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

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

Cancel the common factor of $4$ .

Factor $4$ out of $20$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Step 2

Move the negative in front of the fraction.

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