What is the answer to 2|2x-1|=14 ?

The answer to 2|2x-1|=14 is x=-3\lor x=4

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2|2x-1|=14

2 ∣ 2 x - 1 ∣ = 14

x = - 3 or x = 4

Solution steps

2 ∣ 2 x - 1 ∣ = 14

Divide both sides by

2

∣ 2 x - 1 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 1 = - 7 or 2 x - 1 = 7

2 x - 1 = - 7 or 2 x - 1 = 7

x = - 3 or x = 4

5 ∣ x - 3 ∣ - 2 = 8

9 = ∣ z + 2 ∣ + 8

- 89 = - ∣ 8 v - 80 ∣ - 9

∣ 2 x - 3 ∣ = 5 - 4 x

∣ x ∣ + 1 = 67