What is the answer to x+|x|+|x+2|=0 ?

The answer to x+|x|+|x+2|=0 is x=-2

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x+|x|+|x+2|=0

x + ∣ x ∣ + ∣ x + 2 ∣ = 0

x = - 2

Solution steps

x + ∣ x ∣ + ∣ x + 2 ∣ = 0

Find positive and negative intervals

x < - 2, - 2 \leq x < 0, x \geq 0

Solve the inequality for each interval

No Solution or x = - 2

x = - 2

∣ - 7 x ∣ - 9 = - 5

∣ 3 x + 7 ∣ = 2 x - 3

∣ n - 5 ∣ = 3

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

26 = ∣ u ∣ - 9