What is the answer to 3|n-5|-14=-2 ?

The answer to 3|n-5|-14=-2 is n=1\lor n=9

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3|n-5|-14=-2

3 ∣ n - 5 ∣ - 14 = - 2

n = 1 or n = 9

Solution steps

3 ∣ n - 5 ∣ - 14 = - 2

Move

14

to the right side

3 ∣ n - 5 ∣ = 12

Divide both sides by

3

∣ n - 5 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

n - 5 = - 4 or n - 5 = 4

n - 5 = - 4 or n - 5 = 4

n = 1 or n = 9

x^{2} + x = 0

∣ 3 x - 1 ∣ = ∣ 2 x + 6 ∣

∣ x + 2 ∣ + ∣ x - 3 ∣ = 4

∣ x - 3 ∣ + x^{2} - 1 = 8

∣ 4 - x ∣ = 3 ∣ 2 x - 2 ∣