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

The answer to |x-2|=2x-3 is x= 5/3

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|x-2|=2x-3

∣ x - 2 ∣ = 2 x - 3

x = \frac{5}{3}

Decimal Notation

x = 1.66666 \dots

Solution steps

∣ x - 2 ∣ = 2 x - 3

Find positive and negative intervals

x < 2, x \geq 2

Solve the inequality for each interval

x = \frac{5}{3} or No Solution

x = \frac{5}{3}

3 = \frac{∣ n ∣}{7}

∣ 7 x ∣ = - 14

12 \cdot ∣ 2 d - 7 ∣ = 60

∣ 7 - 5 v ∣ = 13

∣ 3 x - 3 ∣ - 5 = 1