Simplify (5x^4-4x^3-3x-4)-(2x-6x^3-2x^4)

$(5 x^{4} - 4 x^{3} - 3 x - 4) - (2 x - 6 x^{3} - 2 x^{4})$

Simplify each term.

Apply the distributive property.

$5 x^{4} - 4 x^{3} - 3 x - 4 - (2 x) - (- 6 x^{3}) - (- 2 x^{4})$

Simplify.

Multiply $2$ by $- 1$ .

$5 x^{4} - 4 x^{3} - 3 x - 4 - 2 x - (- 6 x^{3}) - (- 2 x^{4})$

Multiply $- 6$ by $- 1$ .

$5 x^{4} - 4 x^{3} - 3 x - 4 - 2 x + 6 x^{3} - (- 2 x^{4})$

Multiply $- 2$ by $- 1$ .

$5 x^{4} - 4 x^{3} - 3 x - 4 - 2 x + 6 x^{3} + 2 x^{4}$

Simplify by adding terms.

Add $5 x^{4}$ and $2 x^{4}$ .

$7 x^{4} - 4 x^{3} - 3 x - 4 - 2 x + 6 x^{3}$

Add $- 4 x^{3}$ and $6 x^{3}$ .

$7 x^{4} + 2 x^{3} - 3 x - 4 - 2 x$

Subtract $2 x$ from $- 3 x$ .

$7 x^{4} + 2 x^{3} - 5 x - 4$