What is the answer to |x+4|=|2x-1| ?

The answer to |x+4|=|2x-1| is x=-1\lor x=5

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|x+4|=|2x-1|

∣ x + 4 ∣ = ∣ 2 x - 1 ∣

x = - 1 or x = 5

Solution steps

∣ x + 4 ∣ = ∣ 2 x - 1 ∣

Find positive and negative intervals

x < - 4, - 4 \leq x < \frac{1}{2}, x \geq \frac{1}{2}

Solve the inequality for each interval

No Solution or x = - 1 or x = 5

x = - 1 or x = 5

- 8 + 4 x > - 24

27 x^{3} - 8 y^{3}

3 - \frac{4}{5}

2 x^{3} + 3 x^{2} - 12 x

∣ x - 2 ∣ < 2 x