Pre-Algebra Examples

$(7 x + 5) - (- 2 x^{2} - 6 x + 5)$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Apply the distributive property.

$7 x + 5 - (- 2 x^{2}) - (- 6 x) - 1 \cdot 5$

Step 1.2

Simplify.

Tap for more steps...

Step 1.2.1

Multiply $- 2$ by $- 1$ .

$7 x + 5 + 2 x^{2} - (- 6 x) - 1 \cdot 5$

Step 1.2.2

Multiply $- 6$ by $- 1$ .

$7 x + 5 + 2 x^{2} + 6 x - 1 \cdot 5$

Step 1.2.3

Multiply $- 1$ by $5$ .

$7 x + 5 + 2 x^{2} + 6 x - 5$

Step 2

Simplify by adding terms.

Tap for more steps...

Step 2.1

Combine the opposite terms in $7 x + 5 + 2 x^{2} + 6 x - 5$ .

Tap for more steps...

Step 2.1.1

Subtract $5$ from $5$ .

$7 x + 2 x^{2} + 6 x + 0$

Step 2.1.2

Add $7 x + 2 x^{2} + 6 x$ and $0$ .

$7 x + 2 x^{2} + 6 x$

Step 2.2

Add $7 x$ and $6 x$ .

$2 x^{2} + 13 x$