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

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

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

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

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∣ 3 x - 1 ∣ = 14

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

Decimal Notation

x = - 4.33333 \dots, x = 5

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

w^{2} - 7 w + 12

4 x = x^{2} - 5

\frac{13}{52} \cdot \frac{13}{51}

4 + b = 18

x^{2} - 14 x + 37 = 0