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

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

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

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

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∣ 2 x - 1 ∣ = x

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

Decimal Notation

x = 0.33333 \dots, x = 1

Solution steps

∣ 2 x - 1 ∣ = x

Find positive and negative intervals

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

Solve the inequality for each interval

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

∣ x - 9 ∣ = x^{2} + 3

- 2 ∣ x + 5 ∣ = 8

∣ - 6 a + 4 ∣ = 14

∣ 2 x + 6 ∣ = 4

- 5 - ∣ 5 k - 7 ∣ = - 8