What is the answer to 5|3n+2|-10=10 ?

The answer to 5|3n+2|-10=10 is n=-2\lor n= 2/3

Solve for n: 5|3n+2|-10=10

The solution is n=-2\lor n= 2/3

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5 ∣ 3 n + 2 ∣ - 10 = 10

n = - 2 or n = \frac{2}{3}

Decimal Notation

n = - 2, n = 0.66666 \dots

Solution steps

5 ∣ 3 n + 2 ∣ - 10 = 10

Move

10

to the right side

5 ∣ 3 n + 2 ∣ = 20

Divide both sides by

5

∣ 3 n + 2 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 n + 2 = - 4 or 3 n + 2 = 4

3 n + 2 = - 4 or 3 n + 2 = 4

n = - 2 or n = \frac{2}{3}

4 - 6 ∣ 5 a - 5 ∣ = 58

∣ 2 - b ∣ = 2

∣ 3 x + 6 ∣ = - 4

∣ - y + 8 ∣ = 15

∣ 5 y + 9 ∣ - 16 = 0

What is the answer to 5|3n+2|-10=10 ?
The answer to 5|3n+2|-10=10 is n=-2\lor n= 2/3
Solve for n: 5|3n+2|-10=10
The solution is n=-2\lor n= 2/3