What is the answer to |3x+8|=6 ?

The answer to |3x+8|=6 is x=-14/3 \lor x=-2/3

Solve for x: |3x+8|=6

The solution is x=-14/3 \lor x=-2/3

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∣ 3 x + 8 ∣ = 6

x = - \frac{14}{3} or x = - \frac{2}{3}

Decimal Notation

x = - 4.66666 \dots, x = - 0.66666 \dots

Solution steps

∣ 3 x + 8 ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x + 8 = - 6 or 3 x + 8 = 6

3 x + 8 = - 6 or 3 x + 8 = 6

x = - \frac{14}{3} or x = - \frac{2}{3}

∣ 3 x - 2 ∣ = 10

6 ∣ 2 x - 3 ∣ - 9 = 33

∣ x - 2 ∣ = 6 x + 18

10 - 2 ∣ x + 2 ∣ = 5

4 ∣ x - 6 ∣ + 2 = 30