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

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

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|2x-1|=2x

∣ 2 x - 1 ∣ = 2 x

x = \frac{1}{4}

Decimal Notation

x = 0.25

Solution steps

∣ 2 x - 1 ∣ = 2 x

Find positive and negative intervals

x < \frac{1}{2}, x \geq \frac{1}{2}

Solve the inequality for each interval

x = \frac{1}{4} or No Solution

x = \frac{1}{4}

∣ 4 x - 5 ∣ = - 25

∣ 4 x - 5 ∣ = - 27

∣ 9 x - 1 ∣ + 6 = 10

∣ x + 11 ∣ + 2 = 30

- 5 ∣ 7 b + 8 ∣ + 10 = 10