The problem is as following :
What is the solutions of 2|x−1|−4= −2
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Solution:
The equation is ⇒⇒ 2|x−1|−4= −2 → add 4 to both sides
∴ 2|x−1| -4 + 4= −2+4
∴ 2|x−1|= 2 → divide over 2
∴ |x−1|= 1
According to absolute rules:
∴ x-1 = 1 or x-1 = -1
∴ x = 2 or x = 0
∴ x = {0,2}
So, the solution of the equation is {0,2}
