Simplify -x^2+2x-2x^2-3x+4+x^2

$- x^{2} + 2 x - 2 x^{2} - 3 x + 4 + x^{2}$

Step 1

Combine the opposite terms in $- x^{2} + 2 x - 2 x^{2} - 3 x + 4 + x^{2}$ .

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

$2 x - 2 x^{2} - 3 x + 4 + 0$

Add $2 x - 2 x^{2} - 3 x + 4$ and $0$ .

$2 x - 2 x^{2} - 3 x + 4$

Step 2

Subtract $3 x$ from $2 x$ .

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