What is the answer to |5x-2|=1 ?

The answer to |5x-2|=1 is x= 1/5 \lor x= 3/5

Solve for x: |5x-2|=1

The solution is x= 1/5 \lor x= 3/5

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∣ 5 x - 2 ∣ = 1

x = \frac{1}{5} or x = \frac{3}{5}

Decimal Notation

x = 0.2, x = 0.6

Solution steps

∣ 5 x - 2 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 x - 2 = - 1 or 5 x - 2 = 1

5 x - 2 = - 1 or 5 x - 2 = 1

x = \frac{1}{5} or x = \frac{3}{5}

∣ x + 8 ∣ = 0

4 ∣ 5 + 2 x ∣ + 12 = 136

8 = ∣ w + 5 ∣

36 - 3 ∣ x ∣ = 18

∣ 3 b + 9 ∣ - 16 = 52