What is the answer to |3x+1|=14 ?

The answer to |3x+1|=14 is x=-5\lor x= 13/3

Solve for x: |3x+1|=14

The solution is x=-5\lor x= 13/3

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∣ 3 x + 1 ∣ = 14

x = - 5 or x = \frac{13}{3}

Decimal Notation

x = - 5, x = 4.33333 \dots

Solution steps

∣ 3 x + 1 ∣ = 14

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x + 1 = - 14 or 3 x + 1 = 14

3 x + 1 = - 14 or 3 x + 1 = 14

x = - 5 or x = \frac{13}{3}

∣ 3 x + 1 ∣ = 11

∣ 3 x + 1 ∣ = 13

∣ 5 y + 15 ∣ = 10

∣ 3 x - 3 ∣ + 4 = 2 x - 8

∣ y ∣ - 9 = 10