Simplify (-3x^4+6x^3-11x^2+5)-(5x^4+2x^3-x)

$(- 3 x^{4} + 6 x^{3} - 11 x^{2} + 5) - (5 x^{4} + 2 x^{3} - x)$

Simplify each term.

Apply the distributive property.

$- 3 x^{4} + 6 x^{3} - 11 x^{2} + 5 - (5 x^{4}) - (2 x^{3}) - - x$

Simplify.

Multiply $5$ by $- 1$ .

$- 3 x^{4} + 6 x^{3} - 11 x^{2} + 5 - 5 x^{4} - (2 x^{3}) - - x$

Multiply $2$ by $- 1$ .

$- 3 x^{4} + 6 x^{3} - 11 x^{2} + 5 - 5 x^{4} - 2 x^{3} - - x$

Multiply $- - x$ .

Multiply $- 1$ by $- 1$ .

$- 3 x^{4} + 6 x^{3} - 11 x^{2} + 5 - 5 x^{4} - 2 x^{3} + 1 x$

Multiply $x$ by $1$ .

$- 3 x^{4} + 6 x^{3} - 11 x^{2} + 5 - 5 x^{4} - 2 x^{3} + x$

Simplify by adding terms.

Subtract $5 x^{4}$ from $- 3 x^{4}$ .

$- 8 x^{4} + 6 x^{3} - 11 x^{2} + 5 - 2 x^{3} + x$

Subtract $2 x^{3}$ from $6 x^{3}$ .

$- 8 x^{4} + 4 x^{3} - 11 x^{2} + 5 + x$

Move $5$ .

$- 8 x^{4} + 4 x^{3} - 11 x^{2} + x + 5$