What is the answer to 4|x-5|=24 ?

The answer to 4|x-5|=24 is x=-1\lor x=11

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4|x-5|=24

4 ∣ x - 5 ∣ = 24

x = - 1 or x = 11

Solution steps

4 ∣ x - 5 ∣ = 24

Divide both sides by

4

∣ x - 5 ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 5 = - 6 or x - 5 = 6

x - 5 = - 6 or x - 5 = 6

x = - 1 or x = 11

z^{2} + 2 ∣ z ∣ = 1

- ∣ b + 6 ∣ = ∣ 3 b - 2 ∣

x^{2} - 2 ∣ x ∣ - 1 = 0

∣ x - 3 ∣ = ∣ x + 3 ∣

∣ x + 1 ∣ = (x - 41)^{2}