What is the answer to |2x-1|=3x+1 ?

The answer to |2x-1|=3x+1 is x=0

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|2x-1|=3x+1

∣ 2 x - 1 ∣ = 3 x + 1

x = 0

Solution steps

∣ 2 x - 1 ∣ = 3 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 - 3 p ∣ = 3

x^{2} + 8 x + 3 = ∣ x + 5 ∣ + 3

2 ∣ x + 4 ∣ = 12

2 ∣ x + 4 ∣ = 20

∣ 3 r + 10 ∣ = 20