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

The answer to |4x-1|=2x is x= 1/6 \lor x= 1/2

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

The solution is x= 1/6 \lor x= 1/2

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∣ 4 x - 1 ∣ = 2 x

x = \frac{1}{6} or x = \frac{1}{2}

Decimal Notation

x = 0.16666 \dots, x = 0.5

Solution steps

∣ 4 x - 1 ∣ = 2 x

Find positive and negative intervals

x < \frac{1}{4}, x \geq \frac{1}{4}

Solve the inequality for each interval

x = \frac{1}{6} or x = \frac{1}{2}

∣ u - 175 ∣ - 2 = 223

∣ t + 4 ∣ - 6 = 10

3 ∣ 14 x + 11 ∣ - 9 = 12

- 2 = 1 ∣ z + 3 ∣ + 3

∣ 2 x + 7 ∣ - 25 = - 8