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

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

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|x+5|=|5-x|

∣ x + 5 ∣ = ∣ 5 - x ∣

x = 0

Solution steps

∣ x + 5 ∣ = ∣ 5 - x ∣

Find positive and negative intervals

x < - 5, - 5 \leq x \leq 5, x > 5

Solve the inequality for each interval

No Solution or x = 0

x = 0

2 q x^{2} + pq x - 8 x - 4 p

5 x + 34 \leq 23

6 < x \leq 0

- \frac{1}{3} x < 0

3 y^{7} - 2 y^{5} - y^{2}