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

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

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10=|n|+5

10 = ∣ n ∣ + 5

n = - 5 or n = 5

Solution steps

10 = ∣ n ∣ + 5

Switch sides

∣ n ∣ + 5 = 10

Move

5

to the right side

∣ n ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

n = - 5 or n = 5

∣ 15 + m ∣ = - 2 m + 3

∣ x ∣ - 12 = - 20

\frac{∣ 2 - x ∣}{2} = 4 x

∣ 3 x - 2 ∣ - 18 = x

∣ x ∣ + 9 = 55