What is the answer to |3x+8|=2 ?

The answer to |3x+8|=2 is x=-10/3 \lor x=-2

Solve for x: |3x+8|=2

The solution is x=-10/3 \lor x=-2

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∣ 3 x + 8 ∣ = 2

x = - \frac{10}{3} or x = - 2

Decimal Notation

x = - 3.33333 \dots, x = - 2

Solution steps

∣ 3 x + 8 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x + 8 = - 2 or 3 x + 8 = 2

3 x + 8 = - 2 or 3 x + 8 = 2

x = - \frac{10}{3} or x = - 2

5 = ∣ x ∣ + 3

4 ∣ x + 5 ∣ + 2 = 0

∣ 3 x - 2 ∣ = - 2

\frac{1}{4} x + 5 = 3

∣ x ∣ + 11 = 11