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

The answer to |2x-1|=|x-3| is x=-2\lor x= 4/3

Solve for x: |2x-1|=|x-3|

The solution is x=-2\lor x= 4/3

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∣ 2 x - 1 ∣ = ∣ x - 3 ∣

x = - 2 or x = \frac{4}{3}

Solution steps

∣ 2 x - 1 ∣ = ∣ x - 3 ∣

Find positive and negative intervals

x < \frac{1}{2}, \frac{1}{2} \leq x < 3, x \geq 3

Solve the inequality for each interval

x = - 2 or x = \frac{4}{3} or No Solution

x = - 2 or x = \frac{4}{3}

∣ x + 1 ∣ + ∣ x - 2 ∣ = 2

\frac{∣ x - 5 ∣ - 1}{2} = \frac{1}{2}

x^{2} - 4 ∣ x ∣ + 3 = 0

∣ 4 x - 2 ∣ = ∣ x + 1 ∣

∣ x ∣ + ∣ 8 - x ∣ = 0

What is the answer to |2x-1|=|x-3| ?
The answer to |2x-1|=|x-3| is x=-2\lor x= 4/3
Solve for x: |2x-1|=|x-3|
The solution is x=-2\lor x= 4/3