What is the answer to 2|2x-1|-1=5 ?

The answer to 2|2x-1|-1=5 is x=-1\lor x=2

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2|2x-1|-1=5

2 ∣ 2 x - 1 ∣ - 1 = 5

x = - 1 or x = 2

Solution steps

2 ∣ 2 x - 1 ∣ - 1 = 5

Move

1

to the right side

2 ∣ 2 x - 1 ∣ = 6

Divide both sides by

2

∣ 2 x - 1 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 1 = - 3 or 2 x - 1 = 3

2 x - 1 = - 3 or 2 x - 1 = 3

x = - 1 or x = 2

- 16 = - ∣ - 7 c + 9 ∣ - 8

2 = ∣ s + 8 ∣

3 - 10 ∣ 5 k - 4 ∣ = - 87

∣ d - 93 ∣ = 1.5

2 x^{2} - 3 x - 14 = 8