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

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

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|2x-1|=3x-4

∣ 2 x - 1 ∣ = 3 x - 4

x = 3

Solution steps

∣ 2 x - 1 ∣ = 3 x - 4

Find positive and negative intervals

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

Solve the inequality for each interval

No Solution or x = 3

x = 3

- 2 ∣ x - 4 ∣ + 7 = - 3

x^{2} - 3 x - 2 = ∣ x - 1 ∣

∣ x - 3 ∣ = 5 x + 9

7 ∣ x - 4 ∣ = 4

x, ∣ x + y ∣ = 1