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

The answer to |2x-5|=|2x+5| is x=0

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|2x-5|=|2x+5|

∣ 2 x - 5 ∣ = ∣ 2 x + 5 ∣

x = 0

Solution steps

∣ 2 x - 5 ∣ = ∣ 2 x + 5 ∣

Find positive and negative intervals

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

Solve the inequality for each interval

No Solution or x = 0

x = 0

lo g_{9} (81)

16 \cdot 3

x^{3} + 5 x^{2} - 25 x - 125 > 0

7 x + 8 (x + \frac{1}{4}) = 3 (6 x - 9) - 8

x^{2} - 64 > - x^{2} + 64