Simplify -1/3(6x+15)-3

$- \frac{1}{3} (6 x + 15) - 3$

Simplify each term.

Apply the distributive property.

$- \frac{1}{3} (6 x) - \frac{1}{3} \cdot 15 - 3$

Cancel the common factor of $3$ .

Move the leading negative in $- \frac{1}{3}$ into the numerator.

$\frac{- 1}{3} (6 x) - \frac{1}{3} \cdot 15 - 3$

Factor $3$ out of $6 x$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Multiply $2$ by $- 1$ .

$- 2 x - \frac{1}{3} \cdot 15 - 3$

Cancel the common factor of $3$ .

Move the leading negative in $- \frac{1}{3}$ into the numerator.

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

Factor $3$ out of $15$ .

$- 2 x + \frac{- 1}{3} \cdot (3 (5)) - 3$

Cancel the common factor.

$- 2 x + \frac{- 1}{3} \cdot (3 \cdot 5) - 3$

Rewrite the expression.

$- 2 x - 1 \cdot 5 - 3$

Multiply $- 1$ by $5$ .

$- 2 x - 5 - 3$

Subtract $3$ from $- 5$ .

$- 2 x - 8$