Simplify 2x(3x-4)

$2 x (3 x - 4)$

Simplify by multiplying through.

Apply the distributive property.

$2 x (3 x) + 2 x \cdot - 4$

Simplify the expression.

Rewrite using the commutative property of multiplication.

$2 \cdot 3 x \cdot x + 2 x \cdot - 4$

Multiply $- 4$ by $2$ .

$2 \cdot 3 x \cdot x - 8 x$

Simplify each term.

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

Move $x$ .

$2 \cdot 3 (x \cdot x) - 8 x$

Multiply $x$ by $x$ .

$2 \cdot 3 x^{2} - 8 x$

Multiply $2$ by $3$ .

$6 x^{2} - 8 x$