What is the answer to |2x-3|=4x-15 ?

The answer to |2x-3|=4x-15 is x=6

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|2x-3|=4x-15

∣ 2 x - 3 ∣ = 4 x - 15

x = 6

Solution steps

∣ 2 x - 3 ∣ = 4 x - 15

Find positive and negative intervals

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

Solve the inequality for each interval

No Solution or x = 6

x = 6

11 = x + ∣ 2 x - 1 ∣

5 x - 31 = ∣ x - 3 ∣

∣ x + 2 ∣ = \frac{4}{3}

6 - ∣ x - 4 ∣ = 3

∣ 3 x + 2 ∣ = - 3 x