What is the answer to |x|-2|x+1|+3|x+2|=0 ?

The answer to |x|-2|x+1|+3|x+2|=0 is x=-2

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|x|-2|x+1|+3|x+2|=0

∣ x ∣ - 2 ∣ x + 1 ∣ + 3 ∣ x + 2 ∣ = 0

x = - 2

Solution steps

∣ x ∣ - 2 ∣ x + 1 ∣ + 3 ∣ x + 2 ∣ = 0

Find positive and negative intervals

x < - 2, - 2 \leq x < - 1, - 1 \leq x < 0, x \geq 0

Solve the inequality for each interval

No Solution or x = - 2

x = - 2

x^{3} + x^{2} + x + 1 = x^{3} + 1 + x^{2} + x

∣ 2 x - 3 ∣ = ∣ 3 x + 5 ∣

2 ∣ x + 1 ∣^{2} - ∣ x + 1 ∣ = 3

∣ x + 2 ∣ + ∣ x - 3 ∣ + 2 = 0

∣ x - 3 ∣ + 2 ∣ x + 1 ∣ = 4

What is the answer to |x|-2|x+1|+3|x+2|=0 ?
The answer to |x|-2|x+1|+3|x+2|=0 is x=-2
Solve for x: |x|-2|x+1|+3|x+2|=0
The solution is x=-2