What is the answer to 2|x-3|-1=5 ?

The answer to 2|x-3|-1=5 is x=0\lor x=6

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2|x-3|-1=5

2 ∣ x - 3 ∣ - 1 = 5

x = 0 or x = 6

Solution steps

2 ∣ x - 3 ∣ - 1 = 5

Move

1

to the right side

2 ∣ x - 3 ∣ = 6

Divide both sides by

2

∣ x - 3 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = 0 or x = 6

∣ 15 + x ∣ = - 2 x + 3

1 - 2 x^{2} = ∣ x ∣

∣ 2 x + 4 ∣ = 11

8 - 7 ∣ 5 n - 1 ∣ = 8

∣ x - 2 ∣ + 2 = 3