What is the answer to 6-4|2x-8|=-10 ?

The answer to 6-4|2x-8|=-10 is x=2\lor x=6

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6-4|2x-8|=-10

6 - 4 ∣ 2 x - 8 ∣ = - 10

x = 2 or x = 6

Solution steps

6 - 4 ∣ 2 x - 8 ∣ = - 10

Move

6

to the right side

- 4 ∣ 2 x - 8 ∣ = - 16

Divide both sides by

- 4

∣ 2 x - 8 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 8 = - 4 or 2 x - 8 = 4

2 x - 8 = - 4 or 2 x - 8 = 4

x = 2 or x = 6

∣ x - 4 ∣ = ∣ x + 1 ∣

∣ x - 3 ∣ + 1 = 31

7 x - 3 = ∣ 4 - 8 x ∣

∣ 6 - 2 x ∣ = 3 x + 3

- 9 ∣ - 10 x - 10 ∣ + 10 = 10

What is the answer to 6-4|2x-8|=-10 ?
The answer to 6-4|2x-8|=-10 is x=2\lor x=6
Solve for x: 6-4|2x-8|=-10
The solution is x=2\lor x=6