Simplify (2x-3)+(4x(3x+2))

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

Remove parentheses.

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

Simplify each term.

Apply the distributive property.

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

Rewrite using the commutative property of multiplication.

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

Multiply $2$ by $4$ .

$2 x - 3 + 4 \cdot 3 x \cdot x + 8 x$

Simplify each term.

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

Move $x$ .

$2 x - 3 + 4 \cdot 3 (x \cdot x) + 8 x$

Multiply $x$ by $x$ .

$2 x - 3 + 4 \cdot 3 x^{2} + 8 x$

Multiply $4$ by $3$ .

$2 x - 3 + 12 x^{2} + 8 x$

Simplify by adding terms.

Add $2 x$ and $8 x$ .

$10 x - 3 + 12 x^{2}$

Simplify the expression.

Move $- 3$ .

$10 x + 12 x^{2} - 3$

Reorder $10 x$ and $12 x^{2}$ .

$12 x^{2} + 10 x - 3$