Evaluate (-4x^2+x)-(-8x^2-2x+6)

$(- 4 x^{2} + x) - (- 8 x^{2} - 2 x + 6)$

Simplify each term.

Apply the distributive property.

$- 4 x^{2} + x - (- 8 x^{2}) - (- 2 x) - 1 \cdot 6$

Simplify.

Multiply $- 8$ by $- 1$ .

$- 4 x^{2} + x + 8 x^{2} - (- 2 x) - 1 \cdot 6$

Multiply $- 2$ by $- 1$ .

$- 4 x^{2} + x + 8 x^{2} + 2 x - 1 \cdot 6$

Multiply $- 1$ by $6$ .

$- 4 x^{2} + x + 8 x^{2} + 2 x - 6$

Simplify by adding terms.

Add $- 4 x^{2}$ and $8 x^{2}$ .

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

Add $x$ and $2 x$ .

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