Question

linear equations w/ distribution (lev 2)
question
solve for x.

$-2(-2x - 2) + x + 2 = -9$

answer
$x = $

Explanation:

Step1: Distribute -2

Multiply -2 with each term inside the parentheses: $-2(-2x - 2)=4x + 4$. So the equation becomes $4x + 4 + x + 2 = -9$.

Step2: Combine like terms

Combine the x - terms and the constant terms: $(4x + x)+(4 + 2)=5x + 6$. Now the equation is $5x + 6 = -9$.

Step3: Subtract 6 from both sides

Subtract 6 from each side: $5x + 6 - 6=-9 - 6$, which simplifies to $5x=-15$.

Step4: Divide by 5

Divide both sides by 5: $\frac{5x}{5}=\frac{-15}{5}$, so $x = - 3$.

Answer:

-3