Simplify 9+5/4(10x-28)

$9 + \frac{5}{4} (10 x - 28)$

Simplify each term.

Apply the distributive property.

$9 + \frac{5}{4} (10 x) + \frac{5}{4} \cdot - 28$

Cancel the common factor of $2$ .

Factor $2$ out of $4$ .

$9 + \frac{5}{2 (2)} (10 x) + \frac{5}{4} \cdot - 28$

Factor $2$ out of $10 x$ .

$9 + \frac{5}{2 (2)} (2 (5 x)) + \frac{5}{4} \cdot - 28$

Cancel the common factor.

$9 + \frac{5}{2 \cdot 2} (2 (5 x)) + \frac{5}{4} \cdot - 28$

Rewrite the expression.

$9 + \frac{5}{2} (5 x) + \frac{5}{4} \cdot - 28$

Combine $5$ and $\frac{5}{2}$ .

$9 + \frac{5 \cdot 5}{2} x + \frac{5}{4} \cdot - 28$

Multiply $5$ by $5$ .

$9 + \frac{25}{2} x + \frac{5}{4} \cdot - 28$

Combine $\frac{25}{2}$ and $x$ .

$9 + \frac{25 x}{2} + \frac{5}{4} \cdot - 28$

Cancel the common factor of $4$ .

Factor $4$ out of $- 28$ .

$9 + \frac{25 x}{2} + \frac{5}{4} \cdot (4 (- 7))$

Cancel the common factor.

$9 + \frac{25 x}{2} + \frac{5}{4} \cdot (4 \cdot - 7)$

Rewrite the expression.

$9 + \frac{25 x}{2} + 5 \cdot - 7$

Multiply $5$ by $- 7$ .

$9 + \frac{25 x}{2} - 35$

Subtract $35$ from $9$ .

$\frac{25 x}{2} - 26$