What is the answer to 2-2|2x-1|=-4 ?

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

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2-2|2x-1|=-4

2 - 2 ∣ 2 x - 1 ∣ = - 4

x = - 1 or x = 2

Solution steps

2 - 2 ∣ 2 x - 1 ∣ = - 4

Move

2

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

∣ 7 r + 4 ∣ = 44

∣ x - 1 ∣ = - (x - 1)

2 \frac{1}{5} x - 2 = 8

3 ∣ 2 x - 7 ∣ = 21

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