What is the answer to |2x-6|=x-1 ?

The answer to |2x-6|=x-1 is x= 7/3 \lor x=5

Solve for x: |2x-6|=x-1

The solution is x= 7/3 \lor x=5

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∣ 2 x - 6 ∣ = x - 1

x = \frac{7}{3} or x = 5

Decimal Notation

x = 2.33333 \dots, x = 5

Solution steps

∣ 2 x - 6 ∣ = x - 1

Find positive and negative intervals

x < 3, x \geq 3

Solve the inequality for each interval

x = \frac{7}{3} or x = 5

∣ p + 5 ∣ = 5

∣ 5 x + 10 ∣ - 13 = 0

- 3 ∣ x + 2 ∣ = - 9

- 5 ∣ 5 m - 5 ∣ + 2 = - 73

∣ a ∣ = 1