Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

linear equations w/ distribution (lev 2) score: 3/5 penalty:none questi…

Question

linear equations w/ distribution (lev 2)
score: 3/5 penalty:none
question
solve for x.
4(-x + 1)-x + 4 = - 37

Explanation:

Step1: Distribute the 4

$4(-x + 1)=-4x+4$, so the equation becomes $-4x + 4 - x+4=-37$.

Step2: Combine like - terms

Combine the $x$ terms and the constant terms. $(-4x - x)+(4 + 4)=-37$, which simplifies to $-5x+8=-37$.

Step3: Subtract 8 from both sides

$-5x+8 - 8=-37 - 8$, resulting in $-5x=-45$.

Step4: Divide both sides by - 5

$\frac{-5x}{-5}=\frac{-45}{-5}$, so $x = 9$.

Answer:

$x = 9$