What is the answer to |x-1|=3x+2 ?

The answer to |x-1|=3x+2 is x=-1/4

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|x-1|=3x+2

∣ x - 1 ∣ = 3 x + 2

x = - \frac{1}{4}

Decimal Notation

x = - 0.25

Solution steps

∣ x - 1 ∣ = 3 x + 2

Find positive and negative intervals

x < 1, x \geq 1

Solve the inequality for each interval

x = - \frac{1}{4} or No Solution

x = - \frac{1}{4}

4 = ∣ 2 (x + 5) - 3 ∣

∣ 7 x + 1 ∣ = 3

∣ - 7 x ∣ = 7

∣ - x + 1 ∣ = - 10

∣ x - 1 ∣ = 3 x - 5