What is the answer to |x|-2=21 ?

The answer to |x|-2=21 is x=-23\lor x=23

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|x|-2=21

∣ x ∣ - 2 = 21

x = - 23 or x = 23

Solution steps

∣ x ∣ - 2 = 21

Move

2

to the right side

∣ x ∣ = 23

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x = - 23 or x = 23

∣ 2 - x ∣ + 2 = 0

4 ∣ s ∣ = 0

∣ 5 x - 15 ∣ = 20

∣ 2 x - 2 ∣ = \frac{1}{3}

- 4 ∣ x + 5 ∣ + 10 = 10