Simplify 1/3(15x-9)+1/5(25x+5)

$\frac{1}{3} (15 x - 9) + \frac{1}{5} (25 x + 5)$

Simplify each term.

Apply the distributive property.

$\frac{1}{3} (15 x) + \frac{1}{3} \cdot - 9 + \frac{1}{5} \cdot (25 x + 5)$

Cancel the common factor of $3$ .

Factor $3$ out of $15 x$ .

$\frac{1}{3} (3 (5 x)) + \frac{1}{3} \cdot - 9 + \frac{1}{5} \cdot (25 x + 5)$

Cancel the common factor.

$\frac{1}{3} (3 (5 x)) + \frac{1}{3} \cdot - 9 + \frac{1}{5} \cdot (25 x + 5)$

Rewrite the expression.

$5 x + \frac{1}{3} \cdot - 9 + \frac{1}{5} \cdot (25 x + 5)$

Cancel the common factor of $3$ .

Factor $3$ out of $- 9$ .

$5 x + \frac{1}{3} \cdot (3 (- 3)) + \frac{1}{5} \cdot (25 x + 5)$

Cancel the common factor.

$5 x + \frac{1}{3} \cdot (3 \cdot - 3) + \frac{1}{5} \cdot (25 x + 5)$

Rewrite the expression.

$5 x - 3 + \frac{1}{5} \cdot (25 x + 5)$

Apply the distributive property.

$5 x - 3 + \frac{1}{5} (25 x) + \frac{1}{5} \cdot 5$

Cancel the common factor of $5$ .

Factor $5$ out of $25 x$ .

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

Cancel the common factor.

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

Rewrite the expression.

$5 x - 3 + 5 x + \frac{1}{5} \cdot 5$

Cancel the common factor of $5$ .

Cancel the common factor.

$5 x - 3 + 5 x + \frac{1}{5} \cdot 5$

Rewrite the expression.

$5 x - 3 + 5 x + 1$

Simplify by adding terms.

Add $5 x$ and $5 x$ .

$10 x - 3 + 1$

Add $- 3$ and $1$ .

$10 x - 2$