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

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

Simplify each term.

Apply the distributive property.

$2 x^{2} + 2 \cdot 5 - 3 (x + 1) + 3$

Multiply $2$ by $5$ .

$2 x^{2} + 10 - 3 (x + 1) + 3$

Apply the distributive property.

$2 x^{2} + 10 - 3 x - 3 \cdot 1 + 3$

Multiply $- 3$ by $1$ .

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

Simplify by adding terms.

Combine the opposite terms in $2 x^{2} + 10 - 3 x - 3 + 3$ .

Add $- 3$ and $3$ .

$2 x^{2} + 10 - 3 x + 0$

Add $2 x^{2} + 10 - 3 x$ and $0$ .

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

Move $10$ .

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