What is the answer to |3x+1|=6 ?

The answer to |3x+1|=6 is x=-7/3 \lor x= 5/3

Solve for x: |3x+1|=6

The solution is x=-7/3 \lor x= 5/3

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∣ 3 x + 1 ∣ = 6

x = - \frac{7}{3} or x = \frac{5}{3}

Decimal Notation

x = - 2.33333 \dots, x = 1.66666 \dots

Solution steps

∣ 3 x + 1 ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x + 1 = - 6 or 3 x + 1 = 6

3 x + 1 = - 6 or 3 x + 1 = 6

x = - \frac{7}{3} or x = \frac{5}{3}

- 21 x + 1 > 22

2 x + 20 = 3 x + 10

- 3 (y + 4) - 2 y = 2 (y + 1)

∣ x + 9 ∣ = 6