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

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

Solve for x: |2x-3|=x-1

The solution is x= 4/3 \lor x=2

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∣ 2 x - 3 ∣ = x - 1

x = \frac{4}{3} or x = 2

Decimal Notation

x = 1.33333 \dots, x = 2

Solution steps

∣ 2 x - 3 ∣ = x - 1

Find positive and negative intervals

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

Solve the inequality for each interval

x = \frac{4}{3} or x = 2

∣ m + 3 ∣ = 7

∣ 0.3 - 2.5 x ∣ = 8

5 n - 3 = ∣ n + 9 ∣

∣ 2 + 7 v ∣ + 11 = 27

∣ 3 h + 1 ∣ = 7 h