Question

linear equations w/ distribution (lev 2)
score: 1/2 penalty: none
question
solve for x.
4(-2x - 4) - 3x - 5 = 1

Explanation:

Step1: Distribute 4

$4\times(-2x - 4)=-8x-16$, so the equation becomes $-8x - 16-3x - 5 = 1$.

Step2: Combine like - terms

Combine $-8x$ and $-3x$ to get $-11x$, and combine $-16$ and $-5$ to get $-21$. The equation is $-11x-21 = 1$.

Step3: Add 21 to both sides

$-11x-21 + 21=1 + 21$, which simplifies to $-11x=22$.

Step4: Divide both sides by - 11

$\frac{-11x}{-11}=\frac{22}{-11}$, so $x=-2$.

Answer:

$x = - 2$