What is the answer to 14|x-2|+1=29 ?

The answer to 14|x-2|+1=29 is x=0\lor x=4

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14|x-2|+1=29

14 ∣ x - 2 ∣ + 1 = 29

x = 0 or x = 4

Solution steps

14 ∣ x - 2 ∣ + 1 = 29

Move

1

to the right side

14 ∣ x - 2 ∣ = 28

Divide both sides by

14

∣ x - 2 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = 0 or x = 4

∣ x - 1 ∣ + ∣ x - 5 ∣ = 4

∣ 2 x + 5 ∣ = 6 x - 7

∣ x + 333.22 ∣ = 12.78

∣ 4 x - 2 ∣ = 2 ∣ x + 3 ∣

∣ - 6 w + 870 ∣ = 30