What is the answer to |2-4x|=1 ?

The answer to |2-4x|=1 is x= 1/4 \lor x= 3/4

Solve for x: |2-4x|=1

The solution is x= 1/4 \lor x= 3/4

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∣ 2 - 4 x ∣ = 1

x = \frac{1}{4} or x = \frac{3}{4}

Decimal Notation

x = 0.25, x = 0.75

Solution steps

∣ 2 - 4 x ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 - 4 x = - 1 or 2 - 4 x = 1

2 - 4 x = - 1 or 2 - 4 x = 1

x = \frac{1}{4} or x = \frac{3}{4}

∣ 2 - 4 x ∣ = 3

9 ∣ 2 - 2 x ∣ = 3 x + 3

∣ 4 y + 9 ∣ = 13

50 = ∣ t - 410 ∣

- 2 ∣ x - 5 ∣ = - 4