What is the answer to 2|x-8|=20 ?

The answer to 2|x-8|=20 is x=-2\lor x=18

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2|x-8|=20

2 ∣ x - 8 ∣ = 20

x = - 2 or x = 18

Solution steps

2 ∣ x - 8 ∣ = 20

Divide both sides by

2

∣ x - 8 ∣ = 10

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 8 = - 10 or x - 8 = 10

x - 8 = - 10 or x - 8 = 10

x = - 2 or x = 18

∣ x - 5 ∣ = - 9

∣ 3 x - 5 ∣ = - 10

∣ x - 6 ∣ = x - 6

∣ 8 - x ∣ = 3

1 - x^{2} = 3