What is the answer to |3x+1|=5 ?

The answer to |3x+1|=5 is x=-2\lor x= 4/3

Solve for x: |3x+1|=5

The solution is x=-2\lor x= 4/3

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∣ 3 x + 1 ∣ = 5

x = - 2 or x = \frac{4}{3}

Decimal Notation

x = - 2, x = 1.33333 \dots

Solution steps

∣ 3 x + 1 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x + 1 = - 5 or 3 x + 1 = 5

3 x + 1 = - 5 or 3 x + 1 = 5

x = - 2 or x = \frac{4}{3}

(x - 3) (x + 4) < 0

x^{2} - 13 x + 30 = 0

- 9 x + 10 > - 8

(z + 5)^{2} = - 13

x^{2} - 36 = 0