What is the answer to 4|2-r|-2=18 ?

The answer to 4|2-r|-2=18 is r=-3\lor r=7

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4|2-r|-2=18

4 ∣ 2 - r ∣ - 2 = 18

r = - 3 or r = 7

Solution steps

4 ∣ 2 - r ∣ - 2 = 18

Move

2

to the right side

4 ∣ 2 - r ∣ = 20

Divide both sides by

4

∣ 2 - r ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 - r = - 5 or 2 - r = 5

2 - r = - 5 or 2 - r = 5

r = - 3 or r = 7

∣ 3 x - 9 ∣ = 9

∣ x - 4 ∣ = 28

∣ x - 4 ∣ = 29

∣ d + 150 ∣ = 250

∣ 2 (x + 6) - 3 ∣ + 4 = 7