What is the answer to |x-2|=|x-6| ?

The answer to |x-2|=|x-6| is x=4

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|x-2|=|x-6|

∣ x - 2 ∣ = ∣ x - 6 ∣

x = 4

Solution steps

∣ x - 2 ∣ = ∣ x - 6 ∣

Find positive and negative intervals

x < 2, 2 \leq x < 6, x \geq 6

Solve the inequality for each interval

No Solution or x = 4

x = 4

14 - ∣ 2 x - 3 ∣ = 2

(\frac{3}{2}) + (\frac{∣ 7 x + 12 ∣}{2}) = 1

x^{2} + 1 + ∣ x + 1 ∣ = 2

5 - 4 ∣ 1 + 2 x ∣ = - 3

∣ 3 x ∣ + 3 = 12