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

The answer to |3x+1|-2=3 is x=-2\lor x= 4/3

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

The solution is x=-2\lor x= 4/3

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∣ 3 x + 1 ∣ - 2 = 3

x = - 2 or x = \frac{4}{3}

Decimal Notation

x = - 2, x = 1.33333 \dots

Solution steps

∣ 3 x + 1 ∣ - 2 = 3

Move

2

to the right side

∣ 3 x + 1 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x + 1 = - 5 or 3 x + 1 = 5

3 x + 1 = - 5 or 3 x + 1 = 5

x = - 2 or x = \frac{4}{3}

∣ 3 d - 4 ∣ = 14

∣ - 4 + 5 x ∣ = 2

∣ x - 3 ∣ + 18 = 6

a = ∣ 5 x - 3 ∣ - 4

∣ x + 4 ∣ = - 2