What is the answer to 2x-5=|x+4| ?

The answer to 2x-5=|x+4| is x=9

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2x-5=|x+4|

2 x - 5 = ∣ x + 4 ∣

x = 9

Solution steps

2 x - 5 = ∣ x + 4 ∣

Find positive and negative intervals

x < - 4, x \geq - 4

Solve the inequality for each interval

No Solution or x = 9

x = 9

∣ 4 x + 3 ∣ = 16

\frac{x}{2} + \frac{1}{3} = 4

x^{2} - 4 + 9 = 5

4 x^{3} - \frac{x}{∣ x ∣} = 0

∣ x + 4 ∣ = 29