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

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

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

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

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∣ 5 x - 1 ∣ = 2

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

Solution steps

∣ 5 x - 1 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

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

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