Simplify 2/3(6x+3)

$\frac{2}{3} (6 x + 3)$

Apply the distributive property.

$\frac{2}{3} (6 x) + \frac{2}{3} \cdot 3$

Cancel the common factor of $3$ .

Factor $3$ out of $6 x$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

Multiply $2$ by $2$ .

$4 x + \frac{2}{3} \cdot 3$

Cancel the common factor of $3$ .

Cancel the common factor.

$4 x + \frac{2}{3} \cdot 3$

Rewrite the expression.

$4 x + 2$

$4 x + 2$

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