What is the answer to 2022-|x-2022|=x ?

The answer to 2022-|x-2022|=x is x<= 2022

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2022-|x-2022|=x

2022 - ∣ x - 2022 ∣ = x

x \leq 2022

Solution steps

2022 - ∣ x - 2022 ∣ = x

Find positive and negative intervals

x < 2022, x \geq 2022

Solve the inequality for each interval

x < 2022 or x = 2022

Merge Overlapping Intervals

x \leq 2022

∣ x + 4 ∣ = 3 x - 2

x^{2} - 8 x + 7 = 2 x - 9

∣ x - 1 ∣ + ∣ x - 3 ∣ = 4

7 ∣ x ∣ - 3 = 0

∣ x - 1 ∣ + 2 = ∣ 3 x + 1 ∣

What is the answer to 2022-|x-2022|=x ?
The answer to 2022-|x-2022|=x is x<= 2022
Solve for x: 2022-|x-2022|=x
The solution is x<= 2022