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

The answer to |2x-1|=2x+1 is x=0

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|2x-1|=2x+1

∣ 2 x - 1 ∣ = 2 x + 1

x = 0

Solution steps

∣ 2 x - 1 ∣ = 2 x + 1

Find positive and negative intervals

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

Solve the inequality for each interval

x = 0 or No Solution

x = 0

∣ 3 + 4 c ∣ - 19 = - 10

∣ 4 x - 5 ∣ = x - 16

3 + 2 ∣ x + 5 ∣ = 1

2 ∣ 2 X - 6 ∣ + 4 = 8

∣ 6 - 3 x ∣ = 6