What is the answer to 2-|x+2|=-6 ?

The answer to 2-|x+2|=-6 is x=-10\lor x=6

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2-|x+2|=-6

2 - ∣ x + 2 ∣ = - 6

x = - 10 or x = 6

Solution steps

2 - ∣ x + 2 ∣ = - 6

Move

2

to the right side

- ∣ x + 2 ∣ = - 8

Divide both sides by

- 1

∣ x + 2 ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 2 = - 8 or x + 2 = 8

x + 2 = - 8 or x + 2 = 8

x = - 10 or x = 6

0.00001732 = x ((0.084) (0.042))

w^{2} = 32 w

- 4 x^{2} + x^{2} + 147 = 0

- 4 < 5 - 3 x \leq 17

\frac{8}{3} \cdot 2