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

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

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|x-1|=2x+3

∣ x - 1 ∣ = 2 x + 3

x = - \frac{2}{3}

Decimal

x = - 0.66666 \dots

Solution steps

∣ x - 1 ∣ = 2 x + 3

Find positive and negative intervals

x < 1, x \geq 1

Solve the inequality for each interval

x = - \frac{2}{3} or No Solution

x = - \frac{2}{3}

∣ 3 x - 2 ∣ = ∣ 2 x - 11 ∣

∣ x - 1 ∣ - 2 ∣ 2 - x ∣ = 0

2 + ∣ x - 3 ∣ = 3

14 ∣ x - 2 ∣ + 1 = 29

∣ x - 1 ∣ + ∣ x - 5 ∣ = 4