Question

question solve for x. -2(-2x - 2) + x + 2 = -9

Explanation:

Step1: Expand the left - hand side

First, expand $-2(-2x - 2)$ using the distributive property $a(b + c)=ab+ac$. Here $a=-2$, $b=-2x$ and $c = - 2$. So $-2(-2x - 2)=(-2)\times(-2x)+(-2)\times(-2)=4x + 4$. The equation becomes $4x + 4+x + 2=-9$.

Step2: Combine like terms

Combine the $x$ - terms and the constant terms on the left - hand side. $(4x+x)+(4 + 2)=-9$, which simplifies to $5x+6=-9$.

Step3: Isolate the variable term

Subtract 6 from both sides of the equation. $5x+6 - 6=-9 - 6$. This gives $5x=-15$.

Step4: Solve for x

Divide both sides of the equation by 5. $\frac{5x}{5}=\frac{-15}{5}$. So $x=-3$.

Answer:

$x = - 3$