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

The answer to |3x+2|=2 is x=-4/3 \lor x=0

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

The solution is x=-4/3 \lor x=0

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∣ 3 x + 2 ∣ = 2

x = - \frac{4}{3} or x = 0

Decimal Notation

x = - 1.33333 \dots, x = 0

Solution steps

∣ 3 x + 2 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = - \frac{4}{3} or x = 0

5 + ∣ 9 + 3 x ∣ = 7

∣ x + 3 ∣ = - 6

∣ 4 x ∣ = 36

∣ x + 4 ∣ = - (x + 4)

\frac{12 - x}{2} = 4 x