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

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

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1-2x=3-|x-1|

1 - 2 x = 3 - ∣ x - 1 ∣

x = - \frac{1}{3}

Decimal Notation

x = - 0.33333 \dots

Solution steps

1 - 2 x = 3 - ∣ 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}

x, ∣ x - 6 ∣ = 0

2 ∣ y + 3 ∣ - 6 = 0

∣ x + 9 ∣ - 2 = 0

∣ 13 x + 42 ∣ = 3

2 - 10 ∣ K + 1 ∣ = - 78