What is the answer to |2-3x|-x=0 ?

The answer to |2-3x|-x=0 is x= 1/2 \lor x=1

Solve for x: |2-3x|-x=0

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

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∣ 2 - 3 x ∣ - x = 0

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

Solution steps

∣ 2 - 3 x ∣ - x = 0

Find positive and negative intervals

x \leq \frac{2}{3}, x > \frac{2}{3}

Solve the inequality for each interval

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

∣ 15 x - 7 ∣ - ∣ 5 x + 3 ∣ = 0

∣ 4 x + 7 ∣ - 3 = 21

∣ 3 x - 1 ∣ = x

∣ x + 2 ∣ - 7 = 1

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