What is the answer to 2|x-2|=8 ?

The answer to 2|x-2|=8 is x=-2\lor x=6

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2|x-2|=8

2 ∣ x - 2 ∣ = 8

x = - 2 or x = 6

Solution steps

2 ∣ x - 2 ∣ = 8

Divide both sides by

2

∣ x - 2 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 2 = - 4 or x - 2 = 4

x - 2 = - 4 or x - 2 = 4

x = - 2 or x = 6

x^{2} - x = 0 + 6

- 7 ∣ 650 - d ∣ = - 630

16 = 3 ∣ - 4 h ∣

8 = ∣ - 4 u ∣

∣ a + 5 ∣ = 0