Question

Simplify 2(x +2) - x +3 (-x -2) -(2x +4)

Answer 1

`\boxed{\tt -4x-6}`

Explanation:

`\tt 2(x +2) - x +3 (-x -2) -(2x +4)`

First, apply the (Distributive property):-

`\boxed{\tt -\left(a+b\right)=-a-b}`

`\tt 2\left(x+2\right)-x+3\left(-x-2\right)-2x-4`

Expand, (Apply Distributive property):-

`\tt 2\left(x+2\right)= \underline{\tt 2x+4}`

`\tt 3\left(-x-2\right)=\underline{\tt -3x-6}`

`\tt 2x+4-3x-6-3x-4`

Combine like terms:-

`\tt (2x-3x-3x)+(4-6-4)`

`\tt (2x-3x-3x)=\underline{\bold{ -4x}}`

`\tt (4-6-4)=\underline{\bold{ -6}}`

`\tt -4x-6`

____________________

Answer 2

-4x - 6

Explanation:

2(x + 2) = 2x + 4

3(-x - 2) = - 3x- 6

-(2x + 4) = -2x - 4

Add these binomials together

2x - 3x - 2x = -3x

4 - 6 - 4 = - 6

Result

-3x - 6

Now to this result we must subtract an x

-3x - x - 6 = - 4x - 6