What is the answer to -10-6|2x-8|=-82 ?

The answer to -10-6|2x-8|=-82 is x=-2\lor x=10

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-10-6|2x-8|=-82

- 10 - 6 ∣ 2 x - 8 ∣ = - 82

x = - 2 or x = 10

Solution steps

- 10 - 6 ∣ 2 x - 8 ∣ = - 82

Move

10

to the right side

- 6 ∣ 2 x - 8 ∣ = - 72

Divide both sides by

- 6

∣ 2 x - 8 ∣ = 12

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 8 = - 12 or 2 x - 8 = 12

2 x - 8 = - 12 or 2 x - 8 = 12

x = - 2 or x = 10

2 ∣ u ∣ = 4

∣ 3 x - 5 ∣ = 3 x - 5

2 - ∣ x - 4 ∣ = 0

- 20 = - ∣ m ∣ - 3

∣ 4 x - 42 ∣ = - 10 x

What is the answer to -10-6|2x-8|=-82 ?
The answer to -10-6|2x-8|=-82 is x=-2\lor x=10
Solve for x: -10-6|2x-8|=-82
The solution is x=-2\lor x=10