What is the answer to |-5n|-3=12 ?

The answer to |-5n|-3=12 is n=-3\lor n=3

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|-5n|-3=12

∣ - 5 n ∣ - 3 = 12

n = - 3 or n = 3

Solution steps

∣ - 5 n ∣ - 3 = 12

Move

3

to the right side

∣ - 5 n ∣ = 15

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 5 n = - 15 or - 5 n = 15

- 5 n = - 15 or - 5 n = 15

n = - 3 or n = 3

∣ w - 5 ∣ = 40

∣ y + 22 ∣ = 37

∣ 4 x + 8 ∣ = 2 x

∣ 4 - 2 x ∣ - 6 = 4 x - 5

\frac{4}{3} x - 8 = 14