What is the answer to |x+2|+2=5 ?

The answer to |x+2|+2=5 is x=-5\lor x=1

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|x+2|+2=5

∣ x + 2 ∣ + 2 = 5

x = - 5 or x = 1

Solution steps

∣ x + 2 ∣ + 2 = 5

Move

2

to the right side

∣ x + 2 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 2 = - 3 or x + 2 = 3

x + 2 = - 3 or x + 2 = 3

x = - 5 or x = 1

(x) = x^{2} + 3 x - 1

∣ 6 z + 5 ∣ - 16 = 0

∣ u - 4 ∣ = - \frac{1}{8}

∣ y + 3 ∣ = 4

∣ 2 + 2 y ∣ + 1 = 3