What is the answer to |x+5|=|2x+1| ?

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

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|x+5|=|2x+1|

∣ x + 5 ∣ = ∣ 2 x + 1 ∣

x = - 2 or x = 4

Solution steps

∣ x + 5 ∣ = ∣ 2 x + 1 ∣

Find positive and negative intervals

x < - 5, - 5 \leq x < - \frac{1}{2}, x \geq - \frac{1}{2}

Solve the inequality for each interval

No Solution or x = - 2 or x = 4

x = - 2 or x = 4

x^{2} - 2 x = 5

x = 0.206 \cdot 9 0^{- 0.12} + 0.28 \cdot 9 0^{- 0.6}

25 x + 20

25 x^{2} - 9

(\frac{- 3}{4})^{2}