What is the answer to -|x+4|+8=4 ?

The answer to -|x+4|+8=4 is x=-8\lor x=0

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-|x+4|+8=4

- ∣ x + 4 ∣ + 8 = 4

x = - 8 or x = 0

Solution steps

- ∣ x + 4 ∣ + 8 = 4

Move

8

to the right side

- ∣ x + 4 ∣ = - 4

Divide both sides by

- 1

∣ x + 4 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = - 8 or x = 0

x^{2} + 6 x = 3 x + 18

8 - 2 ∣ 5 x - 10 ∣ = 15

2 - 10 ∣ k + 1 ∣ = - 78

∣ 4 x - 7 ∣ = 3 x

- 4 ∣ 3 + x ∣ - 7 = - 15