What is the answer to 2|x|-6=18 ?

The answer to 2|x|-6=18 is x=-12\lor x=12

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2|x|-6=18

2 ∣ x ∣ - 6 = 18

x = - 12 or x = 12

Solution steps

2 ∣ x ∣ - 6 = 18

Move

6

to the right side

2 ∣ x ∣ = 24

Divide both sides by

2

∣ x ∣ = 12

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x = - 12 or x = 12

∣ x - 3 ∣ + 1 = 3

\frac{10 ∣ x + 8 ∣}{5} = 24

∣ 6 - x ∣ = 54

x^{2} - 4 = 0.002

x^{2} + ∣ x - 1 ∣ = 11 + 2 x