What is the answer to 2|x+9|+3=55 ?

The answer to 2|x+9|+3=55 is x=-35\lor x=17

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2|x+9|+3=55

2 ∣ x + 9 ∣ + 3 = 55

x = - 35 or x = 17

Solution steps

2 ∣ x + 9 ∣ + 3 = 55

Move

3

to the right side

2 ∣ x + 9 ∣ = 52

Divide both sides by

2

∣ x + 9 ∣ = 26

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 9 = - 26 or x + 9 = 26

x + 9 = - 26 or x + 9 = 26

x = - 35 or x = 17

x^{2} + 3 x - 7 = 3

x^{2} = 2 x

4 ∣ y - 2 ∣ - 12 = 0

∣ - 4 - 8 m ∣ = 4

∣ x - 6 ∣ + 8 = 13