What is the answer to |3x-1|-2=2 ?

The answer to |3x-1|-2=2 is x=-1\lor x= 5/3

Solve for x: |3x-1|-2=2

The solution is x=-1\lor x= 5/3

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∣ 3 x - 1 ∣ - 2 = 2

x = - 1 or x = \frac{5}{3}

Decimal Notation

x = - 1, x = 1.66666 \dots

Solution steps

∣ 3 x - 1 ∣ - 2 = 2

Move

2

to the right side

∣ 3 x - 1 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 1 = - 4 or 3 x - 1 = 4

3 x - 1 = - 4 or 3 x - 1 = 4

x = - 1 or x = \frac{5}{3}

\frac{x - 6}{2 x + 9} \geq 1

x^{2} + 6 x + 5 > 0

1 - x + x^{2} = 0

- 2.3 x > 23

10 a^{2} + 5 a + 15 a^{3}