What is the answer to |2x-5|=x-2 ?

The answer to |2x-5|=x-2 is x= 7/3 \lor x=3

Solve for x: |2x-5|=x-2

The solution is x= 7/3 \lor x=3

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∣ 2 x - 5 ∣ = x - 2

x = \frac{7}{3} or x = 3

Decimal Notation

x = 2.33333 \dots, x = 3

Solution steps

∣ 2 x - 5 ∣ = x - 2

Find positive and negative intervals

x < \frac{5}{2}, x \geq \frac{5}{2}

Solve the inequality for each interval

x = \frac{7}{3} or x = 3

∣ 4 x - 3 ∣ + 2 = 2

∣ 6 x - 3 ∣ = 1

∣ 7 x + 2 ∣ = 0

5 + ∣ 6 - x ∣ = 4

∣ 2 x - 5 ∣ = x + 1