What is the answer to 4|3x-6|+5=17 ?

The answer to 4|3x-6|+5=17 is x=1\lor x=3

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4|3x-6|+5=17

4 ∣ 3 x - 6 ∣ + 5 = 17

x = 1 or x = 3

Solution steps

4 ∣ 3 x - 6 ∣ + 5 = 17

Move

5

to the right side

4 ∣ 3 x - 6 ∣ = 12

Divide both sides by

4

∣ 3 x - 6 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = 1 or x = 3

t^{2} - 99 = 1

- 4 ∣ 4 - 8 b ∣ = 12

- 3 ∣ x + 2 ∣ + 6 = 15

9 = ∣ 2 x - 5 ∣

∣ U - 2 ∣ = - \frac{1}{2}