What is the answer to -2|x-1|=-4 ?

The answer to -2|x-1|=-4 is x=-1\lor x=3

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-2|x-1|=-4

- 2 ∣ x - 1 ∣ = - 4

x = - 1 or x = 3

Solution steps

- 2 ∣ x - 1 ∣ = - 4

Divide both sides by

- 2

∣ 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

∣ 2 x - 3 ∣ = 3 x - 2

∣ 8 d - 4 d ∣ + 5 = 13

9 ∣ x ∣ + 3 = 30

2 ∣ 3 w - 2 ∣ = 16

∣ x - 2 ∣ = 11