Simplify 1/3(27-21x)

$\frac{1}{3} (27 - 21 x)$

Apply the distributive property.

$\frac{1}{3} \cdot 27 + \frac{1}{3} (- 21 x)$

Cancel the common factor of $3$ .

Factor $3$ out of $27$ .

$\frac{1}{3} \cdot (3 (9)) + \frac{1}{3} (- 21 x)$

Cancel the common factor.

$\frac{1}{3} \cdot (3 \cdot 9) + \frac{1}{3} (- 21 x)$

Rewrite the expression.

$9 + \frac{1}{3} (- 21 x)$

Cancel the common factor of $3$ .

Factor $3$ out of $- 21 x$ .

$9 + \frac{1}{3} (3 (- 7 x))$

Cancel the common factor.

$9 + \frac{1}{3} (3 (- 7 x))$

Rewrite the expression.

$9 - 7 x$