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

The answer to |x+2|=|2x-3| is x= 1/3 \lor x=5

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

The solution is x= 1/3 \lor x=5

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∣ x + 2 ∣ = ∣ 2 x - 3 ∣

x = \frac{1}{3} or x = 5

Solution steps

∣ x + 2 ∣ = ∣ 2 x - 3 ∣

Find positive and negative intervals

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

Solve the inequality for each interval

No Solution or x = \frac{1}{3} or x = 5

x = \frac{1}{3} or x = 5

2 x - x^{2} - 3 = 1

(x - 1) x^{2} - 4 x + 3 + 2 x^{2} + 3 x - 5 = 0

∣ 2 x - 1 ∣ = ∣ x + 3 ∣

- 2 x^{2} - 8 x = 10

∣ x - 3 ∣ = ∣ 2 x - 1 ∣

What is the answer to |x+2|=|2x-3| ?
The answer to |x+2|=|2x-3| is x= 1/3 \lor x=5
Solve for x: |x+2|=|2x-3|
The solution is x= 1/3 \lor x=5