What is the answer to |3x+8|=3 ?

The answer to |3x+8|=3 is x=-11/3 \lor x=-5/3

Solve for x: |3x+8|=3

The solution is x=-11/3 \lor x=-5/3

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∣ 3 x + 8 ∣ = 3

x = - \frac{11}{3} or x = - \frac{5}{3}

Decimal Notation

x = - 3.66666 \dots, x = - 1.66666 \dots

Solution steps

∣ 3 x + 8 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x + 8 = - 3 or 3 x + 8 = 3

3 x + 8 = - 3 or 3 x + 8 = 3

x = - \frac{11}{3} or x = - \frac{5}{3}

∣ 3 x - 2 ∣ = - 8

∣ 3 x - 2 ∣ = 12

∣ 3 x - 2 ∣ = \frac{3}{2}

4 ∣ x + 3 ∣ = 20

∣ w ∣ - 20 = - 14