What is the answer to -4=|x+2|-5 ?

The answer to -4=|x+2|-5 is x=-3\lor x=-1

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-4=|x+2|-5

- 4 = ∣ x + 2 ∣ - 5

x = - 3 or x = - 1

Solution steps

- 4 = ∣ x + 2 ∣ - 5

Switch sides

∣ x + 2 ∣ - 5 = - 4

Move

5

to the right side

∣ x + 2 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 2 = - 1 or x + 2 = 1

x + 2 = - 1 or x + 2 = 1

x = - 3 or x = - 1

∣ x - 4 ∣ - 5 = - 2

0 = - 6 ∣ b ∣

∣ x - 1 ∣ + 3 = 8

∣ x - 1 ∣ + 3 = 5

∣ n - 3 ∣ = 13