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

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

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|x-2|=2x+1

∣ x - 2 ∣ = 2 x + 1

x = \frac{1}{3}

Solution steps

∣ x - 2 ∣ = 2 x + 1

Find positive and negative intervals

x < 2, x \geq 2

Solve the inequality for each interval

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

x = \frac{1}{3}

∣ 5 - 3 z ∣ + 9 = 13 z + 8

a, ∣ a - b ∣ = 0

\frac{s}{2} - 1 = 1

∣ x - 2 ∣ = - 5

\frac{∣ 4 x - 12 ∣}{2} = 8