What is the answer to |x-10|-11=-11 ?

The answer to |x-10|-11=-11 is x=10

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|x-10|-11=-11

∣ x - 10 ∣ - 11 = - 11

x = 10

Solution steps

∣ x - 10 ∣ - 11 = - 11

Add

11

to both sides

∣ x - 10 ∣ - 11 + 11 = - 11 + 11

Simplify

∣ x - 10 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

x - 10 = 0

x - 10 = 0 : x = 10

x = 10

∣ 4 x - 8 ∣ = 4

- 5 ∣ 8 x + 5 ∣ = - 95

∣ 2 x + 2 ∣ - 2 = 10

x + \frac{1}{2} = 1

- 3 ∣ 2 - 3 x ∣ = 9