What is the answer to |3x+1|=8 ?

The answer to |3x+1|=8 is x=-3\lor x= 7/3

Solve for x: |3x+1|=8

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

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∣ 3 x + 1 ∣ = 8

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

Decimal Notation

x = - 3, x = 2.33333 \dots

Solution steps

∣ 3 x + 1 ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x + 1 = - 8 or 3 x + 1 = 8

3 x + 1 = - 8 or 3 x + 1 = 8

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

∣ x + 8 ∣ = 10

∣ x + 8 ∣ = - 2

3 x - 2 = ∣ x + 3 ∣

∣ x - 3 ∣ + 4 = 20

∣ - 5 x - 3 ∣ = 8