What is the answer to |2-5x|=3 ?

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

Solve for x: |2-5x|=3

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

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∣ 2 - 5 x ∣ = 3

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

Decimal Notation

x = - 0.2, x = 1

Solution steps

∣ 2 - 5 x ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 - 5 x = - 3 or 2 - 5 x = 3

2 - 5 x = - 3 or 2 - 5 x = 3

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

2 ∣ 3 x + 4 ∣ - 10 = 12

∣ x - 2 ∣ = 2 x - 6

∣ x - 2 ∣ = 2 x - 3

3 = \frac{∣ n ∣}{7}

∣ 7 x ∣ = - 14