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

The answer to |x-1|-|x|+|x+1|=2 is x=-2\lor x=0\lor x=2

Solve for x: |x-1|-|x|+|x+1|=2

The solution is x=-2\lor x=0\lor x=2

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∣ x - 1 ∣ - ∣ x ∣ + ∣ x + 1 ∣ = 2

x = - 2 or x = 0 or x = 2

Solution steps

∣ x - 1 ∣ - ∣ x ∣ + ∣ x + 1 ∣ = 2

Find positive and negative intervals

x < - 1, - 1 \leq x < 0, 0 \leq x < 1, x \geq 1

Solve the inequality for each interval

x = - 2 or No Solution or x = 0 or x = 2

x = - 2 or x = 0 or x = 2

∣ x - 1 ∣ = 2 x - 5

x^{2} - 2 ∣ x ∣ - 2 = 1

7 ∣ x - 2 ∣ - ∣ x - 7 ∣ = 5

x^{2} + ∣ x - 1 ∣ = 1

∣ x - 4 ∣ - ∣ x + 4 ∣ = 8

What is the answer to |x-1|-|x|+|x+1|=2 ?
The answer to |x-1|-|x|+|x+1|=2 is x=-2\lor x=0\lor x=2
Solve for x: |x-1|-|x|+|x+1|=2
The solution is x=-2\lor x=0\lor x=2