Simplify 1/3(12x+6x-21)

$\frac{1}{3} (12 x + 6 x - 21)$

Step 1

Add $12 x$ and $6 x$ .

$\frac{1}{3} \cdot (18 x - 21)$

Step 2

Apply the distributive property.

$\frac{1}{3} (18 x) + \frac{1}{3} \cdot - 21$

Step 3

Cancel the common factor of $3$ .

Factor $3$ out of $18 x$ .

$\frac{1}{3} (3 (6 x)) + \frac{1}{3} \cdot - 21$

Cancel the common factor.

$\frac{1}{3} (3 (6 x)) + \frac{1}{3} \cdot - 21$

Rewrite the expression.

$6 x + \frac{1}{3} \cdot - 21$

$6 x + \frac{1}{3} \cdot - 21$

Step 4

Cancel the common factor of $3$ .

Factor $3$ out of $- 21$ .

$6 x + \frac{1}{3} \cdot (3 (- 7))$

Cancel the common factor.

$6 x + \frac{1}{3} \cdot (3 \cdot - 7)$

Rewrite the expression.

$6 x - 7$

$6 x - 7$

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