What is the answer to 11-|x-7|=0 ?

The answer to 11-|x-7|=0 is x=-4\lor x=18

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11-|x-7|=0

11 - ∣ x - 7 ∣ = 0

x = - 4 or x = 18

Solution steps

11 - ∣ x - 7 ∣ = 0

Move

11

to the right side

- ∣ x - 7 ∣ = - 11

Divide both sides by

- 1

∣ x - 7 ∣ = 11

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 7 = - 11 or x - 7 = 11

x - 7 = - 11 or x - 7 = 11

x = - 4 or x = 18

∣ 3 - 4 x ∣ = 8

∣ 3 - 4 x ∣ = 6

∣ 4 - 3 x ∣ = 4 x + 6

7 ∣ v ∣ = 18

∣ x + 6 ∣ - 1 = 1