Simplify (9/4x+6)-(-5/4x-24)

$(\frac{9}{4} x + 6) - (- \frac{5}{4} x - 24)$

Simplify each term.

Combine $\frac{9}{4}$ and $x$ .

$\frac{9 x}{4} + 6 - (- \frac{5}{4} x - 24)$

Simplify each term.

Combine $x$ and $\frac{5}{4}$ .

$\frac{9 x}{4} + 6 - (- \frac{x \cdot 5}{4} - 24)$

Move $5$ to the left of $x$ .

$\frac{9 x}{4} + 6 - (- \frac{5 x}{4} - 24)$

Apply the distributive property.

$\frac{9 x}{4} + 6 - - \frac{5 x}{4} - - 24$

Multiply $- - \frac{5 x}{4}$ .

Multiply $- 1$ by $- 1$ .

$\frac{9 x}{4} + 6 + 1 \frac{5 x}{4} - - 24$

Multiply $\frac{5 x}{4}$ by $1$ .

$\frac{9 x}{4} + 6 + \frac{5 x}{4} - - 24$

Multiply $- 1$ by $- 24$ .

$\frac{9 x}{4} + 6 + \frac{5 x}{4} + 24$

Simplify terms.

Combine the numerators over the common denominator.

$6 + 24 + \frac{9 x + 5 x}{4}$

Add $9 x$ and $5 x$ .

$6 + 24 + \frac{14 x}{4}$

Cancel the common factor of $14$ and $4$ .

Factor $2$ out of $14 x$ .

$6 + 24 + \frac{2 (7 x)}{4}$

Cancel the common factors.

Factor $2$ out of $4$ .

$6 + 24 + \frac{2 (7 x)}{2 (2)}$

Cancel the common factor.

$6 + 24 + \frac{2 (7 x)}{2 \cdot 2}$

Rewrite the expression.

$6 + 24 + \frac{7 x}{2}$

Add $6$ and $24$ .

$30 + \frac{7 x}{2}$