Simplify 2x^2+(4x-6x^2)+9-(6x+3)

$2 x^{2} + (4 x - 6 x^{2}) + 9 - (6 x + 3)$

Remove parentheses.

$2 x^{2} + 4 x - 6 x^{2} + 9 - (6 x + 3)$

Simplify each term.

Apply the distributive property.

$2 x^{2} + 4 x - 6 x^{2} + 9 - (6 x) - 1 \cdot 3$

Multiply $6$ by $- 1$ .

$2 x^{2} + 4 x - 6 x^{2} + 9 - 6 x - 1 \cdot 3$

Multiply $- 1$ by $3$ .

$2 x^{2} + 4 x - 6 x^{2} + 9 - 6 x - 3$

$2 x^{2} + 4 x - 6 x^{2} + 9 - 6 x - 3$

Simplify by adding terms.

Subtract $6 x^{2}$ from $2 x^{2}$ .

$- 4 x^{2} + 4 x + 9 - 6 x - 3$

Subtract $6 x$ from $4 x$ .

$- 4 x^{2} - 2 x + 9 - 3$

Subtract $3$ from $9$ .

$- 4 x^{2} - 2 x + 6$

$- 4 x^{2} - 2 x + 6$

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