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

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

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

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

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∣ 3 k - 2 ∣ = 2 ∣ k + 2 ∣

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

Decimal

k = - 0.4, k = 6

Solution steps

∣ 3 k - 2 ∣ = 2 ∣ k + 2 ∣

Find positive and negative intervals

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

Solve the inequality for each interval

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

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

4 ∣ x - 8 ∣ = 36

- 2 ∣ - 3 x + 1 ∣ + 6 = - 4

∣ 4 x + 5 ∣ = ∣ 3 x - 1 ∣

- ∣ 14 n + 2 ∣ = - 7

2 ∣ 4 x + 2 ∣ = 52

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