What is the answer to 23=|n+10| ?

The answer to 23=|n+10| is n=-33\lor n=13

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23=|n+10|

23 = ∣ n + 10 ∣

n = - 33 or n = 13

Solution steps

23 = ∣ n + 10 ∣

Switch sides

∣ n + 10 ∣ = 23

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

n + 10 = - 23 or n + 10 = 23

n + 10 = - 23 or n + 10 = 23

n = - 33 or n = 13

∣ 3 m - 2 ∣ = m^{2}

∣ 7 x ∣ = 4 + x

∣ x - 1 ∣ ∣ x + 2 ∣ = 3

9 - 2 ∣ 4 x - 2 ∣ = 7

42 - ∣ x ∣ = 15