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

Question

linear equations w/ distribution (lev 2)
question
solve for x.
-2(-x + 1)+2x - 4 = 34
answer
attempt 1 out of 3
x =

Explanation:

Step1: Distribute -2

$(-2)\times(-x)+(-2)\times1 + 2x-4 = 34$, which simplifies to $2x - 2+2x-4 = 34$.

Step2: Combine like - terms

$(2x + 2x)+(-2 - 4)=34$, so $4x-6 = 34$.

Step3: Add 6 to both sides

$4x-6 + 6=34 + 6$, resulting in $4x=40$.

Step4: Divide both sides by 4

$\frac{4x}{4}=\frac{40}{4}$, so $x = 10$.

Answer:

$10$