Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

linear equations w/ distribution (lev 2) question solve for x. -3(x + 2…

Question

linear equations w/ distribution (lev 2)
question
solve for x.
-3(x + 2)-3x - 5 = 37
answer
attempt 1 out of 2
x =

Explanation:

Step1: Distribute -3

$-3(x + 2)=-3x-6$, so the equation becomes $-3x-6 - 3x - 5 = 37$.

Step2: Combine like - terms

Combine the $x$ terms and the constant terms: $(-3x-3x)+(-6 - 5)=37$, which simplifies to $-6x-11 = 37$.

Step3: Add 11 to both sides

$-6x-11 + 11=37 + 11$, resulting in $-6x = 48$.

Step4: Divide both sides by -6

$\frac{-6x}{-6}=\frac{48}{-6}$, so $x=-8$.

Answer:

$x = - 8$