What is the answer to 2|2x-4|-9=11 ?

The answer to 2|2x-4|-9=11 is x=-3\lor x=7

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2|2x-4|-9=11

2 ∣ 2 x - 4 ∣ - 9 = 11

x = - 3 or x = 7

Solution steps

2 ∣ 2 x - 4 ∣ - 9 = 11

Move

9

to the right side

2 ∣ 2 x - 4 ∣ = 20

Divide both sides by

2

∣ 2 x - 4 ∣ = 10

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 4 = - 10 or 2 x - 4 = 10

2 x - 4 = - 10 or 2 x - 4 = 10

x = - 3 or x = 7

∣ m - 1 ∣ = 23

∣ x - a ∣

∣ x + 1 ∣ - ∣ x - 1 ∣ = 1

∣ x + 2 ∣ = ∣ 2 x + 1 ∣

∣ 3 x + 9 ∣ = 12