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

x - ∣ x ∣ = 0

- 2 ∣ x - 1 ∣ = - 12

- 5 ∣ x + 3 ∣ + 3 = - 17

∣ 3 x + 1 ∣ = 8

∣ x + 8 ∣ = 10