Question

linear equations w/ distribution (lev 2)
score: 3/4 penalty: none
question
solve for x.
-5(x - 3) - 2x - 2 = -43

Explanation:

Step1: Distribute -5

$-5(x - 3)=-5x+15$, so the equation becomes $-5x + 15-2x-2=-43$.

Step2: Combine like - terms

Combine $-5x$ and $-2x$ to get $-7x$, and combine $15$ and $-2$ to get $13$. The equation is now $-7x + 13=-43$.

Step3: Subtract 13 from both sides

$-7x+13 - 13=-43 - 13$, which simplifies to $-7x=-56$.

Step4: Divide both sides by -7

$\frac{-7x}{-7}=\frac{-56}{-7}$, so $x = 8$.

Answer:

$x = 8$