What is the answer to 2|-2x-2|-3=13 ?

The answer to 2|-2x-2|-3=13 is x=-5\lor x=3

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2|-2x-2|-3=13

2 ∣ - 2 x - 2 ∣ - 3 = 13

x = - 5 or x = 3

Solution steps

2 ∣ - 2 x - 2 ∣ - 3 = 13

Move

3

to the right side

2 ∣ - 2 x - 2 ∣ = 16

Divide both sides by

2

∣ - 2 x - 2 ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 2 x - 2 = - 8 or - 2 x - 2 = 8

- 2 x - 2 = - 8 or - 2 x - 2 = 8

x = - 5 or x = 3

∣ x ∣ - 1 = - x^{2} + 1

5 ∣ x - 6 ∣ = 6

∣ 2 g + 3 ∣ = g - 4

10 + ∣ 2 x - 12 ∣ - 14 = 0

3 ∣ x - 8 ∣ + 4 = 25

What is the answer to 2|-2x-2|-3=13 ?
The answer to 2|-2x-2|-3=13 is x=-5\lor x=3
Solve for x: 2|-2x-2|-3=13
The solution is x=-5\lor x=3