Simplify (2x^3-4x^2+7x+1)+(-x^3+2x^2+3x-5)

$(2 x^{3} - 4 x^{2} + 7 x + 1) + (- x^{3} + 2 x^{2} + 3 x - 5)$

Remove parentheses.

$2 x^{3} - 4 x^{2} + 7 x + 1 - x^{3} + 2 x^{2} + 3 x - 5$

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

$x^{3} - 4 x^{2} + 7 x + 1 + 2 x^{2} + 3 x - 5$

Add $- 4 x^{2}$ and $2 x^{2}$ .

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

Add $7 x$ and $3 x$ .

$x^{3} - 2 x^{2} + 10 x + 1 - 5$

Subtract $5$ from $1$ .

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