What is the answer to 2-|x-1|=0 ?

The answer to 2-|x-1|=0 is x=-1\lor x=3

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2-|x-1|=0

2 - ∣ x - 1 ∣ = 0

x = - 1 or x = 3

Solution steps

2 - ∣ x - 1 ∣ = 0

Move

2

to the right side

- ∣ x - 1 ∣ = - 2

Divide both sides by

- 1

∣ x - 1 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 1 = - 2 or x - 1 = 2

x - 1 = - 2 or x - 1 = 2

x = - 1 or x = 3

- 8 = - ∣ c + 6 ∣

4 - 7 ∣ 5 x - 2 ∣ = - 45

- 3 ∣ 2 n + 5 ∣ = - 9

2 ∣ 4 x - 6 ∣ = 6

- 1 = ∣ h + 3 ∣ - 8