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

The answer to |5x-1|=1 is x=0\lor x= 2/5

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|5x-1|=1

∣ 5 x - 1 ∣ = 1

x = 0 or x = \frac{2}{5}

Decimal Notation

x = 0, x = 0.4

Solution steps

∣ 5 x - 1 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = 0 or x = \frac{2}{5}

- 2 ∣ x ∣ = - 6

∣ 3 y + 8 ∣ - 1 = 0

a - \frac{1}{b} x = b

∣ x + 1 ∣ - 4 = - 2

∣ 2 x - 7 ∣ = 2