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

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

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

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

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∣ 2 x - 1 ∣ = ∣ x + 3 ∣

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

Solution steps

∣ 2 x - 1 ∣ = ∣ x + 3 ∣

Find positive and negative intervals

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

Solve the inequality for each interval

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

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

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

∣ x - 3 ∣ = ∣ 2 x - 1 ∣

∣ 2 x - 3 ∣ + ∣ 2 x + 1 ∣ + ∣ 2 x + 5 ∣ = 12

5 ∣ x + 3 ∣ - 1 = 6

∣ 2 x - 3 ∣ - x^{2} - 4 x + 3 = x^{2} - 2 x

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