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

The answer to |3x+1|=1 is x=-2/3 \lor x=0

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

The solution is x=-2/3 \lor x=0

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∣ 3 x + 1 ∣ = 1

x = - \frac{2}{3} or x = 0

Decimal Notation

x = - 0.66666 \dots, x = 0

Solution steps

∣ 3 x + 1 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = - \frac{2}{3} or x = 0

y, x = ∣ y + 2 ∣

∣ 3 x - 2 ∣ = 4 - x

∣ 2 x ∣ = 3 x - 1

∣ 4 - x ∣ = 2

2 ∣ 4 x - 1 ∣ = 6