What is the answer to |x-3|-|x+1|-|x-1|=-2 ?

The answer to |x-3|-|x+1|-|x-1|=-2 is x=-5\lor x= 5/3

Solve for x: |x-3|-|x+1|-|x-1|=-2

The solution is x=-5\lor x= 5/3

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∣ x - 3 ∣ - ∣ x + 1 ∣ - ∣ x - 1 ∣ = - 2

x = - 5 or x = \frac{5}{3}

Decimal Notation

x = - 5, x = 1.66666 \dots

Solution steps

∣ x - 3 ∣ - ∣ x + 1 ∣ - ∣ x - 1 ∣ = - 2

Find positive and negative intervals

x < - 1, - 1 \leq x < 1, 1 \leq x < 3, x \geq 3

Solve the inequality for each interval

x = - 5 or No Solution or x = \frac{5}{3}

x = - 5 or x = \frac{5}{3}

x^{2} - x - 2 = 2 + x - x^{2}

x^{2} - 4 x + 3 = 3 x^{2} - 5 x + 4

2 + 3 ∣ 2 x + 1 ∣ = 4

∣ x - 1 ∣ - ∣ x - 2 ∣ = 10

x^{2} + 3 ∣ x ∣ + 2 = 0

What is the answer to |x-3|-|x+1|-|x-1|=-2 ?
The answer to |x-3|-|x+1|-|x-1|=-2 is x=-5\lor x= 5/3
Solve for x: |x-3|-|x+1|-|x-1|=-2
The solution is x=-5\lor x= 5/3