What is the answer to 3|3x-3|=27 ?

The answer to 3|3x-3|=27 is x=-2\lor x=4

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3|3x-3|=27

3 ∣ 3 x - 3 ∣ = 27

x = - 2 or x = 4

Solution steps

3 ∣ 3 x - 3 ∣ = 27

Divide both sides by

3

∣ 3 x - 3 ∣ = 9

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 3 = - 9 or 3 x - 3 = 9

3 x - 3 = - 9 or 3 x - 3 = 9

x = - 2 or x = 4

∣ X ∣ = 7

7 - ∣ x + 2 ∣ = 1

∣ 5 x - 10 ∣ = 5

∣ x - 1 ∣ = x^{2} + 4 x - 5

5 ∣ x + 7 ∣ + 4 = 29