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

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

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

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

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∣ 3 x + 1 ∣ = 2

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

Decimal Notation

x = - 1, x = 0.33333 \dots

Solution steps

∣ 3 x + 1 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x + 1 = - 2 or 3 x + 1 = 2

3 x + 1 = - 2 or 3 x + 1 = 2

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

5 ∣ x - 2 ∣ = 8

5 ∣ x - 2 ∣ = 4

∣ w + 9 ∣ = 17

∣ 4 x - 1 ∣ + 6 = 3 x

2 = \frac{y}{3}