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

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

Remove parentheses.

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

Subtract $5 x^{2}$ from $- 5 x^{2}$ .

$- 10 x^{2} - x + 5 + 4 - 3 x + x^{3}$

Subtract $3 x$ from $- x$ .

$- 10 x^{2} - 4 x + 5 + 4 + x^{3}$

Simplify the expression.

Add $5$ and $4$ .

$- 10 x^{2} - 4 x + 9 + x^{3}$

Move $9$ .

$- 10 x^{2} - 4 x + x^{3} + 9$

Move $- 4 x$ .

$- 10 x^{2} + x^{3} - 4 x + 9$

Reorder $- 10 x^{2}$ and $x^{3}$ .

$x^{3} - 10 x^{2} - 4 x + 9$