Factor 2x(3x)+2x(5)

$2 x (3 x) + 2 x (5)$

Rewrite using the commutative property of multiplication.

$2 \cdot 3 x \cdot x + 2 x (5)$

Multiply $x$ by $x$ by adding the exponents.

Move $x$ .

$2 \cdot 3 (x \cdot x) + 2 x (5)$

Multiply $x$ by $x$ .

$2 \cdot 3 x^{2} + 2 x (5)$

Multiply $2$ by $3$ .

$6 x^{2} + 2 x (5)$

Multiply $5$ by $2$ .

$6 x^{2} + 10 x$

Factor $2 x$ out of $6 x^{2} + 10 x$ .

Factor $2 x$ out of $6 x^{2}$ .

$2 x (3 x) + 10 x$

Factor $2 x$ out of $10 x$ .

$2 x (3 x) + 2 x (5)$

Factor $2 x$ out of $2 x (3 x) + 2 x (5)$ .

$2 x (3 x + 5)$