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

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

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|x+1|+2|x+2|=x+3

∣ x + 1 ∣ + 2 ∣ x + 2 ∣ = x + 3

- 2 \leq x \leq - 1

Solution steps

∣ x + 1 ∣ + 2 ∣ x + 2 ∣ = x + 3

Find positive and negative intervals

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

Solve the inequality for each interval

No Solution or - 2 \leq x < - 1 or x = - 1

Merge Overlapping Intervals

- 2 \leq x \leq - 1

y, x = ∣ y ∣ + 3

7 - 4 ∣ 2 - x ∣ = - 1

3 x^{2} - 19 ∣ x ∣ + 20 = 0

∣ x - 1 ∣ + 2 = 10

3 ∣ x + 2 ∣ - 2 = - 3

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