What is the answer to 6-5|2x-2|=-4 ?

The answer to 6-5|2x-2|=-4 is x=0\lor x=2

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6-5|2x-2|=-4

6 - 5 ∣ 2 x - 2 ∣ = - 4

x = 0 or x = 2

Solution steps

6 - 5 ∣ 2 x - 2 ∣ = - 4

Move

6

to the right side

- 5 ∣ 2 x - 2 ∣ = - 10

Divide both sides by

- 5

∣ 2 x - 2 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = 0 or x = 2

2 ∣ 6 x - 2 ∣ = 8 x

∣ - 6 j ∣ + 2 = 2

∣ 2 - y ∣ + 3 = 4

- 14 = - 7 ∣ w ∣

∣ 2 x - 5 ∣ + x = 3