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

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

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

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

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∣ 3 x - 2 ∣ = x

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

Decimal Notation

x = 0.5, x = 1

Solution steps

∣ 3 x - 2 ∣ = x

Find positive and negative intervals

x < \frac{2}{3}, x \geq \frac{2}{3}

Solve the inequality for each interval

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

17 = ∣ 2 - 5 a ∣

∣ 4 - 5 x ∣ + 3 = 4

∣ b - 24 ∣ = 40

∣ 2 x - 8 ∣ + 10 = 4 x

21 = ∣ a + 28 ∣