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

The answer to |x+2|=2|x+1| is x=-4/3 \lor x=0

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

The solution is x=-4/3 \lor x=0

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∣ x + 2 ∣ = 2 ∣ x + 1 ∣

x = - \frac{4}{3} or x = 0

Solution steps

∣ x + 2 ∣ = 2 ∣ x + 1 ∣

Find positive and negative intervals

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

Solve the inequality for each interval

No Solution or x = - \frac{4}{3} or x = 0

x = - \frac{4}{3} or x = 0

∣ 2 x + 3 ∣ = ∣ 7 - x ∣

∣ x - 2 ∣ - ∣ x - 6 ∣ = 1

∣ 2 x - 3 ∣ = ∣ x + 7 ∣

- x^{2} + 4 x - 7 - x^{2} + 4 x - 7 = 0

∣ x - 5 ∣ + ∣ x + 6 ∣ = ∣ 2 x + 1 ∣

What is the answer to |x+2|=2|x+1| ?
The answer to |x+2|=2|x+1| is x=-4/3 \lor x=0
Solve for x: |x+2|=2|x+1|
The solution is x=-4/3 \lor x=0