What is the answer to |x+9|+2=4 ?

The answer to |x+9|+2=4 is x=-11\lor x=-7

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|x+9|+2=4

∣ x + 9 ∣ + 2 = 4

x = - 11 or x = - 7

Solution steps

∣ x + 9 ∣ + 2 = 4

Move

2

to the right side

∣ x + 9 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 9 = - 2 or x + 9 = 2

x + 9 = - 2 or x + 9 = 2

x = - 11 or x = - 7

∣ - 5 x + 2 ∣ = x + 26

x^{4} - 2 + ∣ x ∣ = 0

∣ 6 + r ∣ + 10 = 14

∣ d ∣ = - 2

∣ c + 3 ∣ = 16