Simplify (3c^2-7)+(4c+7)-(c^2+5c-8)

$(3 c^{2} - 7) + (4 c + 7) - (c^{2} + 5 c - 8)$

Simplify by adding terms.

Remove parentheses.

$3 c^{2} - 7 + 4 c + 7 - (c^{2} + 5 c - 8)$

Combine the opposite terms in $3 c^{2} - 7 + 4 c + 7 - (c^{2} + 5 c - 8)$ .

Add $- 7$ and $7$ .

$3 c^{2} + 4 c + 0 - (c^{2} + 5 c - 8)$

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

$3 c^{2} + 4 c - (c^{2} + 5 c - 8)$

Simplify each term.

Apply the distributive property.

$3 c^{2} + 4 c - c^{2} - (5 c) - - 8$

Simplify.

Multiply $5$ by $- 1$ .

$3 c^{2} + 4 c - c^{2} - 5 c - - 8$

Multiply $- 1$ by $- 8$ .

$3 c^{2} + 4 c - c^{2} - 5 c + 8$

Simplify by adding terms.

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

$2 c^{2} + 4 c - 5 c + 8$

Subtract $5 c$ from $4 c$ .

$2 c^{2} - c + 8$