What is the answer to -|x+2|+9=-5 ?

The answer to -|x+2|+9=-5 is x=-16\lor x=12

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-|x+2|+9=-5

- ∣ x + 2 ∣ + 9 = - 5

x = - 16 or x = 12

Solution steps

- ∣ x + 2 ∣ + 9 = - 5

Move

9

to the right side

- ∣ x + 2 ∣ = - 14

Divide both sides by

- 1

∣ x + 2 ∣ = 14

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 2 = - 14 or x + 2 = 14

x + 2 = - 14 or x + 2 = 14

x = - 16 or x = 12

\frac{2 π}{\frac{1}{6}}

36 x^{2} - 49 = 0

- 25 = \frac{1}{3} n - 10

60 \cdot \frac{1}{5}

4 (\frac{22}{13}) - 13 + 5 (\frac{22}{13})