What is the answer to |-x+2|=x+1 ?

The answer to |-x+2|=x+1 is x= 1/2

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|-x+2|=x+1

∣ - x + 2 ∣ = x + 1

x = \frac{1}{2}

Solution steps

∣ - x + 2 ∣ = x + 1

Find positive and negative intervals

x \leq 2, x > 2

Solve the inequality for each interval

x = \frac{1}{2} or No Solution

x = \frac{1}{2}

6 - 6 ∣ 5 x - 5 ∣ = - 18

- 5 ∣ y ∣ = 0

4 ∣ 2 x + 7 ∣ + 12 = 5

- 12 ∣ 4 x - 2 ∣ + 7 = 15

x^{2} + 5 = 0