What is the answer to |3x+1|=13 ?

The answer to |3x+1|=13 is x=-14/3 \lor x=4

Solve for x: |3x+1|=13

The solution is x=-14/3 \lor x=4

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∣ 3 x + 1 ∣ = 13

x = - \frac{14}{3} or x = 4

Decimal Notation

x = - 4.66666 \dots, x = 4

Solution steps

∣ 3 x + 1 ∣ = 13

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x + 1 = - 13 or 3 x + 1 = 13

3 x + 1 = - 13 or 3 x + 1 = 13

x = - \frac{14}{3} or x = 4

∣ 5 y + 15 ∣ = 10

∣ 3 x - 3 ∣ + 4 = 2 x - 8

∣ y ∣ - 9 = 10

∣ 2 x + 6 ∣ = 3

4 - 9 ∣ - 6 - x ∣ = - 14