What is the answer to |3n+6|=5n+2 ?

The answer to |3n+6|=5n+2 is n=2

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|3n+6|=5n+2

∣ 3 n + 6 ∣ = 5 n + 2

n = 2

Solution steps

∣ 3 n + 6 ∣ = 5 n + 2

Find positive and negative intervals

n < - 2, n \geq - 2

Solve the inequality for each interval

No Solution or n = 2

n = 2

∣ - 2 r ∣ = 10

\frac{∣ 16 - x ∣}{3} = 3 x

20 = 2 ∣ 2 k ∣

∣ - 2 r ∣ = 16

∣ x + 4 ∣ + 6 = 3