What is the answer to |x-1|=2x-5 ?

The answer to |x-1|=2x-5 is x=4

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|x-1|=2x-5

∣ x - 1 ∣ = 2 x - 5

x = 4

Solution steps

∣ x - 1 ∣ = 2 x - 5

Find positive and negative intervals

x < 1, x \geq 1

Solve the inequality for each interval

No Solution or x = 4

x = 4

x^{2} - 2 ∣ x ∣ - 2 = 1

7 ∣ x - 2 ∣ - ∣ x - 7 ∣ = 5

x^{2} + ∣ x - 1 ∣ = 1

∣ x - 4 ∣ - ∣ x + 4 ∣ = 8

∣ 12 + 3 b ∣ = - 3