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

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

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|x-1|=-2x

∣ x - 1 ∣ = - 2 x

x = - 1

Solution steps

∣ x - 1 ∣ = - 2 x

Find positive and negative intervals

x < 1, x \geq 1

Solve the inequality for each interval

x = - 1 or No Solution

x = - 1

x^{2} - 5 x = - 5 x + 9

∣ 6 x + 6 ∣ = 6

4 + 5 ∣ v ∣ = 29

10 - x^{2} = 26

∣ - 8 + 2 a ∣ + 1 = - 21