What is the answer to 2|2x-20|=24 ?

The answer to 2|2x-20|=24 is x=4\lor x=16

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2|2x-20|=24

2 ∣ 2 x - 20 ∣ = 24

x = 4 or x = 16

Solution steps

2 ∣ 2 x - 20 ∣ = 24

Divide both sides by

2

∣ 2 x - 20 ∣ = 12

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 20 = - 12 or 2 x - 20 = 12

2 x - 20 = - 12 or 2 x - 20 = 12

x = 4 or x = 16

5 ∣ y + 1 ∣ - 40 = 0

∣ x - 1 ∣ = 7 - 2 x

∣ - 9 + 6 x ∣ = 3

∣ 4 t - 240 ∣ = 35

∣ n ∣ + 3 = 7