What is the answer to |x+4|=|x-8| ?

The answer to |x+4|=|x-8| is x=2

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|x+4|=|x-8|

∣ x + 4 ∣ = ∣ x - 8 ∣

x = 2

Solution steps

∣ x + 4 ∣ = ∣ x - 8 ∣

Find positive and negative intervals

x < - 4, - 4 \leq x < 8, x \geq 8

Solve the inequality for each interval

No Solution or x = 2

x = 2

∣ x + 1 ∣ + 2 ∣ x + 2 ∣ = x + 3

y, x = ∣ y ∣ + 3

7 - 4 ∣ 2 - x ∣ = - 1

3 x^{2} - 19 ∣ x ∣ + 20 = 0

∣ x - 1 ∣ + 2 = 10