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

The answer to |x-1|=2x-6 is x=5

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|x-1|=2x-6

∣ x - 1 ∣ = 2 x - 6

x = 5

Solution steps

∣ x - 1 ∣ = 2 x - 6

Find positive and negative intervals

x < 1, x \geq 1

Solve the inequality for each interval

No Solution or x = 5

x = 5

∣ x - 1 ∣ = 2 x - 1

∣ x + 2 ∣ = 8

4 - 9 ∣ - 6 - b ∣ = - 14

∣ x - 2 ∣ + 6 = 0

∣ 3 - x ∣ = 10