What is the answer to 4|3x-9|=24 ?

The answer to 4|3x-9|=24 is x=1\lor x=5

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4|3x-9|=24

4 ∣ 3 x - 9 ∣ = 24

x = 1 or x = 5

Solution steps

4 ∣ 3 x - 9 ∣ = 24

Divide both sides by

4

∣ 3 x - 9 ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 9 = - 6 or 3 x - 9 = 6

3 x - 9 = - 6 or 3 x - 9 = 6

x = 1 or x = 5

∣ x + 2 ∣ = 2 x + 4

150 = ∣ p - 150 ∣

\frac{∣ x + 4 ∣}{- 6} = - 3

∣ a ∣ = - a

4 = ∣ z + 4 ∣