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

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

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

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

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∣ 2 - 5 x ∣ = 1

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

Decimal Notation

x = 0.2, x = 0.6

Solution steps

∣ 2 - 5 x ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

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

∣ 5 - 2 x ∣ + ∣ x + 3 ∣ = 2 - 3 x

∣ x - 1 ∣ + ∣ y + 2 ∣ = 5

∣ x - 2 ∣ = ∣ 4 + x ∣

∣ x + 6 ∣ = 2 x + 3

∣ 5 x + 2 ∣ = ∣ x + 4 ∣