Simplify (12x)÷((6x)/(x+6))

$12 x \div \frac{6 x}{x + 6}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$12 x \frac{x + 6}{6 x}$

Step 2

Cancel the common factor of $6 x$ .

Factor $6 x$ out of $12 x$ .

$6 x (2) \frac{x + 6}{6 x}$

Cancel the common factor.

$6 x \cdot 2 \frac{x + 6}{6 x}$

Rewrite the expression.

$2 (x + 6)$

Step 3

Apply the distributive property.

$2 x + 2 \cdot 6$

Step 4

Multiply $2$ by $6$ .

$2 x + 12$