Solve =x^2+x+2x+2-x^2+3x-6+1

$$= x ^ { 2 } + x + 2 x + 2 - x ^ { 2 } + 3 x - 6 + 1$$

Evaluate

$$6x-3$$

Solution Steps

Combine x and 2x to get 3x.

$$x^{2}+3x+2-x^{2}+3x-6+1$$

Combine x^{2} and -x^{2} to get 0.

$$3x+2+3x-6+1$$

Combine 3x and 3x to get 6x.

$$6x+2-6+1$$

Subtract 6 from 2 to get -4.

$$6x-4+1$$

Add -4 and 1 to get -3.

$$6x-3$$

Factor

$$3\left(2x-1\right)$$

Solution Steps

Multiply and combine like terms.

$$6x-3$$

Factor out 3.

$$3\left(2x-1\right)$$