Simplify (-7x-5x^4+5)-(-7x^4-5-9x)

$(- 7 x - 5 x^{4} + 5) - (- 7 x^{4} - 5 - 9 x)$

Step 1

Simplify each term.

Apply the distributive property.

$- 7 x - 5 x^{4} + 5 - (- 7 x^{4}) - - 5 - (- 9 x)$

Simplify.

Multiply $- 7$ by $- 1$ .

$- 7 x - 5 x^{4} + 5 + 7 x^{4} - - 5 - (- 9 x)$

Multiply $- 1$ by $- 5$ .

$- 7 x - 5 x^{4} + 5 + 7 x^{4} + 5 - (- 9 x)$

Multiply $- 9$ by $- 1$ .

$- 7 x - 5 x^{4} + 5 + 7 x^{4} + 5 + 9 x$

Step 2

Simplify by adding terms.

Add $- 7 x$ and $9 x$ .

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

Add $- 5 x^{4}$ and $7 x^{4}$ .

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

Simplify the expression.

Add $5$ and $5$ .

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

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

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