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

The answer to 2|x-5|-4=2 is x=2\lor x=8

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2|x-5|-4=2

2 ∣ x - 5 ∣ - 4 = 2

x = 2 or x = 8

Solution steps

2 ∣ x - 5 ∣ - 4 = 2

Move

4

to the right side

2 ∣ x - 5 ∣ = 6

Divide both sides by

2

∣ x - 5 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 5 = - 3 or x - 5 = 3

x - 5 = - 3 or x - 5 = 3

x = 2 or x = 8

4 = ∣ d - 3 ∣

∣ x + 4 ∣ = - x + 8

\frac{1}{2} ∣ x - 4 ∣ = 6

∣ - 4 z - 6 ∣ = 6

5 = - 8 ∣ v ∣ - 7