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

The answer to |3x-2|=2|x+2| is x=-2/5 \lor x=6

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

The solution is x=-2/5 \lor x=6

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∣ 3 x - 2 ∣ = 2 ∣ x + 2 ∣

x = - \frac{2}{5} or x = 6

Decimal

x = - 0.4, x = 6

Solution steps

∣ 3 x - 2 ∣ = 2 ∣ x + 2 ∣

Find positive and negative intervals

x < - 2, - 2 \leq x < \frac{2}{3}, x \geq \frac{2}{3}

Solve the inequality for each interval

No Solution or x = - \frac{2}{5} or x = 6

x = - \frac{2}{5} or x = 6

∣ x - 2 ∣ = ∣ x - 6 ∣

14 - ∣ 2 x - 3 ∣ = 2

(\frac{3}{2}) + (\frac{∣ 7 x + 12 ∣}{2}) = 1

x^{2} + 1 + ∣ x + 1 ∣ = 2

5 - 4 ∣ 1 + 2 x ∣ = - 3

What is the answer to |3x-2|=2|x+2| ?
The answer to |3x-2|=2|x+2| is x=-2/5 \lor x=6
Solve for x: |3x-2|=2|x+2|
The solution is x=-2/5 \lor x=6