What is the answer to |2x-2|-8=-2 ?

The answer to |2x-2|-8=-2 is x=-2\lor x=4

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|2x-2|-8=-2

∣ 2 x - 2 ∣ - 8 = - 2

x = - 2 or x = 4

Solution steps

∣ 2 x - 2 ∣ - 8 = - 2

Move

8

to the right side

∣ 2 x - 2 ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 2 = - 6 or 2 x - 2 = 6

2 x - 2 = - 6 or 2 x - 2 = 6

x = - 2 or x = 4

13 = ∣ - 2 b + 2 ∣

\frac{x}{2} - 5 = 4

∣ 3 x - 1 ∣ + 2 = x

\frac{∣ 2 x - 1 ∣}{3} = 5

∣ x + 2 ∣ + 8 = 7