What is the answer to |x-2|+|2-x|=10 ?

The answer to |x-2|+|2-x|=10 is x=-3\lor x=7

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|x-2|+|2-x|=10

∣ x - 2 ∣ + ∣ 2 - x ∣ = 10

x = - 3 or x = 7

Solution steps

∣ x - 2 ∣ + ∣ 2 - x ∣ = 10

Find positive and negative intervals

x \leq 2, x > 2

Solve the inequality for each interval

x = - 3 or x = 7

∣ x - 3 ∣ = ∣ 2 x - 8 ∣

x^{2} - 9 = ∣ 2 x - 5 ∣ - 4

∣ x + 4 ∣^{2} + 5 = 20

∣ 1 - 2 x ∣ = 2 x - 1

∣ 3 x - 1 ∣ + ∣ 2 x - 3 ∣ - 4 = 0

What is the answer to |x-2|+|2-x|=10 ?
The answer to |x-2|+|2-x|=10 is x=-3\lor x=7
Solve for x: |x-2|+|2-x|=10
The solution is x=-3\lor x=7