What is the answer to 3|2n+7|-12=3 ?

The answer to 3|2n+7|-12=3 is n=-6\lor n=-1

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3|2n+7|-12=3

3 ∣ 2 n + 7 ∣ - 12 = 3

n = - 6 or n = - 1

Solution steps

3 ∣ 2 n + 7 ∣ - 12 = 3

Move

12

to the right side

3 ∣ 2 n + 7 ∣ = 15

Divide both sides by

3

∣ 2 n + 7 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 n + 7 = - 5 or 2 n + 7 = 5

2 n + 7 = - 5 or 2 n + 7 = 5

n = - 6 or n = - 1

∣ x + 12 ∣ - 16 = 2

5 - \frac{6 x}{5} = 12

∣ 5 x + 7 ∣ = 38

3 - \frac{1}{4} x = 4

5 = ∣ x ∣

What is the answer to 3|2n+7|-12=3 ?
The answer to 3|2n+7|-12=3 is n=-6\lor n=-1
Solve for n: 3|2n+7|-12=3
The solution is n=-6\lor n=-1