What is the answer to 2|x+2|+1=9 ?

The answer to 2|x+2|+1=9 is x=-6\lor x=2

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2|x+2|+1=9

2 ∣ x + 2 ∣ + 1 = 9

x = - 6 or x = 2

Solution steps

2 ∣ x + 2 ∣ + 1 = 9

Move

1

to the right side

2 ∣ x + 2 ∣ = 8

Divide both sides by

2

∣ x + 2 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 2 = - 4 or x + 2 = 4

x + 2 = - 4 or x + 2 = 4

x = - 6 or x = 2

∣ x ∣ = 59.9

∣ 4 p - 5 ∣ = 0

∣ 2 x + 5 ∣ = x

∣ x + 9 ∣ = 10

∣ x + 9 ∣ = 12