Simplify 1/3x+5(1/3x+3)

$\frac{1}{3} x + 5 (\frac{1}{3} x + 3)$

Simplify each term.

Combine $\frac{1}{3}$ and $x$ .

$\frac{x}{3} + 5 (\frac{1}{3} x + 3)$

Combine $\frac{1}{3}$ and $x$ .

$\frac{x}{3} + 5 (\frac{x}{3} + 3)$

Apply the distributive property.

$\frac{x}{3} + 5 \frac{x}{3} + 5 \cdot 3$

Combine $5$ and $\frac{x}{3}$ .

$\frac{x}{3} + \frac{5 x}{3} + 5 \cdot 3$

Multiply $5$ by $3$ .

$\frac{x}{3} + \frac{5 x}{3} + 15$

$\frac{x}{3} + \frac{5 x}{3} + 15$

Simplify terms.

Combine the numerators over the common denominator.

$15 + \frac{x + 5 x}{3}$

Add $x$ and $5 x$ .

$15 + \frac{6 x}{3}$

Cancel the common factor of $6$ and $3$ .

Factor $3$ out of $6 x$ .

$15 + \frac{3 (2 x)}{3}$

Cancel the common factors.

Factor $3$ out of $3$ .

$15 + \frac{3 (2 x)}{3 (1)}$

Cancel the common factor.

$15 + \frac{3 (2 x)}{3 \cdot 1}$

Rewrite the expression.

$15 + \frac{2 x}{1}$

Divide $2 x$ by $1$ .

$15 + 2 x$

$15 + 2 x$

$15 + 2 x$

$15 + 2 x$

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