What is the answer to |x-3|-|2x-5|=0 ?

The answer to |x-3|-|2x-5|=0 is x=2\lor x= 8/3

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|x-3|-|2x-5|=0

∣ x - 3 ∣ - ∣ 2 x - 5 ∣ = 0

x = 2 or x = \frac{8}{3}

Decimal Notation

x = 2, x = 2.66666 \dots

Solution steps

∣ x - 3 ∣ - ∣ 2 x - 5 ∣ = 0

Find positive and negative intervals

x < \frac{5}{2}, \frac{5}{2} \leq x < 3, x \geq 3

Solve the inequality for each interval

x = 2 or x = \frac{8}{3} or No Solution

x = 2 or x = \frac{8}{3}

\frac{1}{2} x - \frac{2}{3} - 1 = \frac{1}{6}

∣ x - 3 ∣ + ∣ 3 - x ∣ = 1

∣ x + 1 ∣ = 2 x - 3

∣ - x + 5 ∣ = 8

2 ∣ - 2 x + 5 ∣ = 4

What is the answer to |x-3|-|2x-5|=0 ?
The answer to |x-3|-|2x-5|=0 is x=2\lor x= 8/3
Solve for x: |x-3|-|2x-5|=0
The solution is x=2\lor x= 8/3