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

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

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

∣ 2 x + 5 ∣ = ∣ - 2 x + 1 ∣

x = - 1

Solution steps

∣ 2 x + 5 ∣ = ∣ - 2 x + 1 ∣

Find positive and negative intervals

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

Solve the inequality for each interval

No Solution or x = - 1

x = - 1

5 x^{2} + 3 x - 3 = 0

- 6 \leq \frac{3 x + 17}{7} < 7

64 x^{2} + 80 x + 25

x = ln (9)

- 9 x \geq 18