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

The answer to |2x+1|-x=2x is x=1

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|2x+1|-x=2x

∣ 2 x + 1 ∣ - x = 2 x

x = 1

Solution steps

∣ 2 x + 1 ∣ - x = 2 x

Find positive and negative intervals

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

Solve the inequality for each interval

No Solution or x = 1

x = 1

∣ 125 x - 34 ∣ = - 2

∣ 3 x - 5 ∣ = ∣ 6 x + 10 ∣

∣ 3 - 4 x ∣ = ∣ 2 x + 1 ∣

3 ∣ 2 x - 7 ∣ + 6 = 9

∣ 4 y - 14 ∣ = 6