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

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

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2x=|x-1|

2 x = ∣ x - 1 ∣

x = \frac{1}{3}

Decimal Notation

x = 0.33333 \dots

Solution steps

2 x = ∣ x - 1 ∣

Find positive and negative intervals

x < 1, x \geq 1

Solve the inequality for each interval

x = \frac{1}{3} or No Solution

x = \frac{1}{3}

5 = ∣ p - 4 ∣

∣ x - 1 ∣ - 1 = 0

x^{2} - 121 = 0

2 = ∣ q - 9 ∣

∣ 2 x + 4 ∣ - 3 = 7