What is the answer to |3x-4|-2=14 ?

The answer to |3x-4|-2=14 is x=-4\lor x= 20/3

Solve for x: |3x-4|-2=14

The solution is x=-4\lor x= 20/3

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∣ 3 x - 4 ∣ - 2 = 14

x = - 4 or x = \frac{20}{3}

Solution steps

∣ 3 x - 4 ∣ - 2 = 14

Move

2

to the right side

∣ 3 x - 4 ∣ = 16

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 4 = - 16 or 3 x - 4 = 16

3 x - 4 = - 16 or 3 x - 4 = 16

x = - 4 or x = \frac{20}{3}

∣ y + 7 ∣ - 2 = - 5

- 3 ∣ 4 x - 7 ∣ + 15 = 0

8 - 4 ∣ 8 - 5 x ∣ = - 8

24 = ∣ 6 a ∣

∣ x - 4 ∣ + 3 = 1

What is the answer to |3x-4|-2=14 ?
The answer to |3x-4|-2=14 is x=-4\lor x= 20/3
Solve for x: |3x-4|-2=14
The solution is x=-4\lor x= 20/3