Simplify 9+1/4(12x-20)

$9 + \frac{1}{4} (12 x - 20)$

Simplify each term.

Apply the distributive property.

$9 + \frac{1}{4} (12 x) + \frac{1}{4} \cdot - 20$

Cancel the common factor of $4$ .

Factor $4$ out of $12 x$ .

$9 + \frac{1}{4} (4 (3 x)) + \frac{1}{4} \cdot - 20$

Cancel the common factor.

$9 + \frac{1}{4} (4 (3 x)) + \frac{1}{4} \cdot - 20$

Rewrite the expression.

$9 + 3 x + \frac{1}{4} \cdot - 20$

Cancel the common factor of $4$ .

Factor $4$ out of $- 20$ .

$9 + 3 x + \frac{1}{4} \cdot (4 (- 5))$

Cancel the common factor.

$9 + 3 x + \frac{1}{4} \cdot (4 \cdot - 5)$

Rewrite the expression.

$9 + 3 x - 5$

Subtract $5$ from $9$ .

$3 x + 4$