Simplify (5x^2+2x-5x^4-5)-(3x^2-10x^4+6x)

$(5 x^{2} + 2 x - 5 x^{4} - 5) - (3 x^{2} - 10 x^{4} + 6 x)$

Simplify each term.

Apply the distributive property.

$5 x^{2} + 2 x - 5 x^{4} - 5 - (3 x^{2}) - (- 10 x^{4}) - (6 x)$

Simplify.

Multiply $3$ by $- 1$ .

$5 x^{2} + 2 x - 5 x^{4} - 5 - 3 x^{2} - (- 10 x^{4}) - (6 x)$

Multiply $- 10$ by $- 1$ .

$5 x^{2} + 2 x - 5 x^{4} - 5 - 3 x^{2} + 10 x^{4} - (6 x)$

Multiply $6$ by $- 1$ .

$5 x^{2} + 2 x - 5 x^{4} - 5 - 3 x^{2} + 10 x^{4} - 6 x$

Simplify by adding terms.

Subtract $3 x^{2}$ from $5 x^{2}$ .

$2 x^{2} + 2 x - 5 x^{4} - 5 + 10 x^{4} - 6 x$

Subtract $6 x$ from $2 x$ .

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

Add $- 5 x^{4}$ and $10 x^{4}$ .

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

Simplify the expression.

Move $- 5$ .

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

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

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