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

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

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|2x-3|=3x-2

∣ 2 x - 3 ∣ = 3 x - 2

x = 1

Solution steps

∣ 2 x - 3 ∣ = 3 x - 2

Find positive and negative intervals

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

Solve the inequality for each interval

x = 1 or No Solution

x = 1

∣ 8 d - 4 d ∣ + 5 = 13

9 ∣ x ∣ + 3 = 30

2 ∣ 3 w - 2 ∣ = 16

∣ x - 2 ∣ = 11

∣ x - 2 ∣ = 2 x