What is the answer to 46=|x+27| ?

The answer to 46=|x+27| is x=-73\lor x=19

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46=|x+27|

46 = ∣ x + 27 ∣

x = - 73 or x = 19

Solution steps

46 = ∣ x + 27 ∣

Switch sides

∣ x + 27 ∣ = 46

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 27 = - 46 or x + 27 = 46

x + 27 = - 46 or x + 27 = 46

x = - 73 or x = 19

- 3 y - 2 = ∣ 6 y + 25 ∣

∣ 5 x + 3 ∣ = 7

7 + ∣ 7 + 3 x ∣ = 18

x^{2} - 4 x - 5 = 7

x^{2} - 4 = x - 2