What is the answer to |2x+3|=4x-1 ?

The answer to |2x+3|=4x-1 is x=2

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|2x+3|=4x-1

∣ 2 x + 3 ∣ = 4 x - 1

x = 2

Solution steps

∣ 2 x + 3 ∣ = 4 x - 1

Find positive and negative intervals

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

Solve the inequality for each interval

No Solution or x = 2

x = 2

- 1 = ∣ x ∣ - 4

∣ n + 1 ∣ = 5

- 9 = - 3 ∣ 2 n + 5 ∣

1 - 2 ∣ 5 - 3 x ∣ = x

∣ k + 5 ∣ - 2 = 7