What is the answer to |x-4|=|x+6| ?

The answer to |x-4|=|x+6| is x=-1

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|x-4|=|x+6|

∣ x - 4 ∣ = ∣ x + 6 ∣

x = - 1

Solution steps

∣ x - 4 ∣ = ∣ x + 6 ∣

Find positive and negative intervals

x < - 6, - 6 \leq x < 4, x \geq 4

Solve the inequality for each interval

No Solution or x = - 1

x = - 1

∣ n + 2 ∣ = 1

∣ 3 x ∣ + 9 = 6

x^{2} - x = 0

12 = ∣ 9 x + 1 ∣ 3

- 4 ∣ 2 x - 3 ∣ + 12 = - 8