Simplify -x^3+5x+7x^2+8x^3-(-x^3+x)

$- x^{3} + 5 x + 7 x^{2} + 8 x^{3} - (- x^{3} + x)$

Step 1

Simplify each term.

Apply the distributive property.

$- x^{3} + 5 x + 7 x^{2} + 8 x^{3} - - x^{3} - x$

Multiply $- - x^{3}$ .

Multiply $- 1$ by $- 1$ .

$- x^{3} + 5 x + 7 x^{2} + 8 x^{3} + 1 x^{3} - x$

Multiply $x^{3}$ by $1$ .

$- x^{3} + 5 x + 7 x^{2} + 8 x^{3} + x^{3} - x$

Step 2

Simplify by adding terms.

Combine the opposite terms in $- x^{3} + 5 x + 7 x^{2} + 8 x^{3} + x^{3} - x$ .

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

$5 x + 7 x^{2} + 8 x^{3} + 0 - x$

Add $5 x + 7 x^{2} + 8 x^{3}$ and $0$ .

$5 x + 7 x^{2} + 8 x^{3} - x$

Subtract $x$ from $5 x$ .

$7 x^{2} + 8 x^{3} + 4 x$

Reorder $7 x^{2}$ and $8 x^{3}$ .

$8 x^{3} + 7 x^{2} + 4 x$