Simplify 5x^2-(3x-6x^2)+6+(7x-2)

$5 x^{2} - (3 x - 6 x^{2}) + 6 + (7 x - 2)$

Remove parentheses.

$5 x^{2} - (3 x - 6 x^{2}) + 6 + 7 x - 2$

Simplify each term.

Apply the distributive property.

$5 x^{2} - (3 x) - (- 6 x^{2}) + 6 + 7 x - 2$

Multiply $3$ by $- 1$ .

$5 x^{2} - 3 x - (- 6 x^{2}) + 6 + 7 x - 2$

Multiply $- 6$ by $- 1$ .

$5 x^{2} - 3 x + 6 x^{2} + 6 + 7 x - 2$

$5 x^{2} - 3 x + 6 x^{2} + 6 + 7 x - 2$

Simplify by adding terms.

Add $5 x^{2}$ and $6 x^{2}$ .

$11 x^{2} - 3 x + 6 + 7 x - 2$

Add $- 3 x$ and $7 x$ .

$11 x^{2} + 4 x + 6 - 2$

Subtract $2$ from $6$ .

$11 x^{2} + 4 x + 4$

$11 x^{2} + 4 x + 4$

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