What is the answer to |3x+1|=19 ?

The answer to |3x+1|=19 is x=-20/3 \lor x=6

Solve for x: |3x+1|=19

The solution is x=-20/3 \lor x=6

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∣ 3 x + 1 ∣ = 19

x = - \frac{20}{3} or x = 6

Decimal

x = - 6.66666 \dots, x = 6

Solution steps

∣ 3 x + 1 ∣ = 19

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x + 1 = - 19 or 3 x + 1 = 19

3 x + 1 = - 19 or 3 x + 1 = 19

x = - \frac{20}{3} or x = 6

∣ 5 y + 15 ∣ = 15

3 ∣ x + 4 ∣ - 15 = 0

- ∣ c ∣ = 0

10 ∣ x - 4 ∣ = 120

- 18 = ∣ d - 1 ∣