What is the answer to |x-4|=|x-2| ?

The answer to |x-4|=|x-2| is x=3

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|x-4|=|x-2|

∣ x - 4 ∣ = ∣ x - 2 ∣

x = 3

Solution steps

∣ x - 4 ∣ = ∣ x - 2 ∣

Find positive and negative intervals

x < 2, 2 \leq x < 4, x \geq 4

Solve the inequality for each interval

No Solution or x = 3

x = 3

2 x^{2} + 4 x = 30

(3 n - 10) + (n + 20) + n = 180

3 x^{2} = - 4 x

(\frac{5}{7})^{- 2}