What is the answer to 3|x-6|=12 ?

The answer to 3|x-6|=12 is x=2\lor x=10

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3|x-6|=12

3 ∣ x - 6 ∣ = 12

x = 2 or x = 10

Solution steps

3 ∣ x - 6 ∣ = 12

Divide both sides by

3

∣ x - 6 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 6 = - 4 or x - 6 = 4

x - 6 = - 4 or x - 6 = 4

x = 2 or x = 10

x^{3} + x^{2} = 4

∣ 11 - 3 t ∣ = 2

∣ 7 x ∣ = 49

∣ 3 x + 1 ∣ = 4 x + 1

∣ 3 X - 2 ∣ = X - 18