Write in Standard Form 2x-x^2+8=-2x^2-5x

$2 x - x^{2} + 8 = - 2 x^{2} - 5 x$

Move all the expressions to the left side of the equation.

Add $2 x^{2}$ to both sides of the equation.

$2 x - x^{2} + 8 + 2 x^{2} = - 5 x$

Add $5 x$ to both sides of the equation.

$2 x - x^{2} + 8 + 2 x^{2} + 5 x = 0$

Simplify $2 x - x^{2} + 8 + 2 x^{2} + 5 x$ .

Add $2 x$ and $5 x$ .

$- x^{2} + 8 + 2 x^{2} + 7 x = 0$

Add $- x^{2}$ and $2 x^{2}$ .

$x^{2} + 8 + 7 x = 0$

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

$a x^{2} + b x + c = 0$

Move $8$ .

$x^{2} + 7 x + 8 = 0$