What is the answer to 2|x-8|=18 ?

The answer to 2|x-8|=18 is x=-1\lor x=17

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2|x-8|=18

2 ∣ x - 8 ∣ = 18

x = - 1 or x = 17

Solution steps

2 ∣ x - 8 ∣ = 18

Divide both sides by

2

∣ x - 8 ∣ = 9

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 8 = - 9 or x - 8 = 9

x - 8 = - 9 or x - 8 = 9

x = - 1 or x = 17

∣ 3 - 5 x ∣ = 22

∣ v + 6 ∣ = 10

∣ 5 x + 10 ∣ - 15 = 0

4 - ∣ x ∣ = 2 x + 1

x^{2} - 2 = ∣ x ∣