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

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

Solve for x: |x-2|=|2x+1|

The solution is x=-3\lor x= 1/3

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∣ x - 2 ∣ = ∣ 2 x + 1 ∣

x = - 3 or x = \frac{1}{3}

Decimal Notation

x = - 3, x = 0.33333 \dots

Solution steps

∣ x - 2 ∣ = ∣ 2 x + 1 ∣

Find positive and negative intervals

x < - \frac{1}{2}, - \frac{1}{2} \leq x < 2, x \geq 2

Solve the inequality for each interval

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

x = - 3 or x = \frac{1}{3}

∣ 2 x - 1 ∣ - 9 = 0

∣ 20 + 2 x ∣ = ∣ 4 x + 4 ∣

∣ x + 3 ∣ + ∣ x - 2 ∣ = 5

x^{2} + x + 1 + ∣ 2 x - 3 ∣ = 4 x

∣ - 13 ∣ + \frac{3 x + 6}{7} + ∣ 4 ∣ = 25

What is the answer to |x-2|=|2x+1| ?
The answer to |x-2|=|2x+1| is x=-3\lor x= 1/3
Solve for x: |x-2|=|2x+1|
The solution is x=-3\lor x= 1/3