What is the answer to 3|x-4|=33 ?

The answer to 3|x-4|=33 is x=-7\lor x=15

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3|x-4|=33

3 ∣ x - 4 ∣ = 33

x = - 7 or x = 15

Solution steps

3 ∣ x - 4 ∣ = 33

Divide both sides by

3

∣ x - 4 ∣ = 11

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 4 = - 11 or x - 4 = 11

x - 4 = - 11 or x - 4 = 11

x = - 7 or x = 15

- ∣ 3 x - 2 ∣ + 4 = 14

- ∣ 4 x - 9 ∣ = 3

∣ 3 x + 9 ∣ = 21

- 15 = - 5 ∣ b + 8 ∣

x^{2} - 6 ∣ x ∣ + 8 = 0