What is the answer to |5x-1|=14 ?

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

Solve for x: |5x-1|=14

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

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∣ 5 x - 1 ∣ = 14

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

Decimal Notation

x = - 2.6, x = 3

Solution steps

∣ 5 x - 1 ∣ = 14

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 x - 1 = - 14 or 5 x - 1 = 14

5 x - 1 = - 14 or 5 x - 1 = 14

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

15 = ∣ b - 14 ∣

\frac{b}{9} = 7

∣ 4 x - 3 ∣ = 7

8 = ∣ 5 y + 2 ∣

3 ∣ x - 2 ∣ = 12