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

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

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|x-1|=2x-1

∣ x - 1 ∣ = 2 x - 1

x = \frac{2}{3}

Decimal Notation

x = 0.66666 \dots

Solution steps

∣ x - 1 ∣ = 2 x - 1

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}

∣ x + 2 ∣ = 8

4 - 9 ∣ - 6 - b ∣ = - 14

∣ x - 2 ∣ + 6 = 0

∣ 3 - x ∣ = 10

∣ w ∣ = - 2