Simplify 3/4x+9(1/4x+2)

$\frac{3}{4} x + 9 (\frac{1}{4} x + 2)$

Simplify each term.

Combine $\frac{3}{4}$ and $x$ .

$\frac{3 x}{4} + 9 (\frac{1}{4} x + 2)$

Combine $\frac{1}{4}$ and $x$ .

$\frac{3 x}{4} + 9 (\frac{x}{4} + 2)$

Apply the distributive property.

$\frac{3 x}{4} + 9 \frac{x}{4} + 9 \cdot 2$

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

$\frac{3 x}{4} + \frac{9 x}{4} + 9 \cdot 2$

Multiply $9$ by $2$ .

$\frac{3 x}{4} + \frac{9 x}{4} + 18$

$\frac{3 x}{4} + \frac{9 x}{4} + 18$

Simplify terms.

Combine the numerators over the common denominator.

$18 + \frac{3 x + 9 x}{4}$

Add $3 x$ and $9 x$ .

$18 + \frac{12 x}{4}$

Cancel the common factor of $12$ and $4$ .

Factor $4$ out of $12 x$ .

$18 + \frac{4 (3 x)}{4}$

Cancel the common factors.

Factor $4$ out of $4$ .

$18 + \frac{4 (3 x)}{4 (1)}$

Cancel the common factor.

$18 + \frac{4 (3 x)}{4 \cdot 1}$

Rewrite the expression.

$18 + \frac{3 x}{1}$

Divide $3 x$ by $1$ .

$18 + 3 x$

$18 + 3 x$

$18 + 3 x$

$18 + 3 x$

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