What is the answer to 4|3x-6|=36 ?

The answer to 4|3x-6|=36 is x=-1\lor x=5

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4|3x-6|=36

4 ∣ 3 x - 6 ∣ = 36

x = - 1 or x = 5

Solution steps

4 ∣ 3 x - 6 ∣ = 36

Divide both sides by

4

∣ 3 x - 6 ∣ = 9

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = - 1 or x = 5

2 = ∣ c - 2 ∣

6 \frac{n}{5} = 6

∣ m - 9 ∣ = 6

2 ∣ x ∣ = 18

- 6 ∣ - 8 a + 3 ∣ - 9 = - 75