Question

What is the sum of the solutions of 2|x - 1| - 4 = -2?

Answer 1

Will give medal.

Answer 2

2(|x−1|)−4=−2
add 4 to both sides. 2(|x−1|)−4+4=−2+4
2(|x−1|)=2
then divide both sides by 2.
2(|x−1|)/2=2/2
|x−1|=1
solve Absolute Value.
|x−1|=1
We know eitherx−1=1orx−1=−1
x−1=1(Possibility 1)
x−1+1=1+1(Add 1 to both sides)
x=2
x−1=−1(Possibility 2)
x−1+1=−1+1(Add 1 to both sides)
x=0
Answer:
x=2 or x=0

Answer 3

Thank you so much!