Question

linear equations w/ distribution (lev 2)
question
solve for x.
−3(−2x−2)−2x + 2 = 28
answer
attempt 1 out of 2
x =

Explanation:

Step1: Expand the left - hand side

First, distribute the -3 in -3(-2x - 2). Using the distributive property a(b + c)=ab+ac, we get 6x + 6. So the equation becomes 6x + 6-2x + 2 = 28.

Step2: Combine like terms

Combine the x - terms and the constant terms on the left - hand side. (6x-2x)+(6 + 2)=28, which simplifies to 4x+8 = 28.

Step3: Isolate the variable term

Subtract 8 from both sides of the equation. 4x+8 - 8=28 - 8, resulting in 4x = 20.

Step4: Solve for x

Divide both sides of the equation by 4. $\frac{4x}{4}=\frac{20}{4}$, so x = 5.

Answer:

x = 5