What is the answer to -|x|+9=-24 ?

The answer to -|x|+9=-24 is x=-33\lor x=33

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-|x|+9=-24

- ∣ x ∣ + 9 = - 24

x = - 33 or x = 33

Solution steps

- ∣ x ∣ + 9 = - 24

Move

9

to the right side

- ∣ x ∣ = - 33

Divide both sides by

- 1

∣ x ∣ = 33

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x = - 33 or x = 33

∣ 6 s ∣ = 0

∣ 4 x + 4 ∣ = 9

∣ x + 4 ∣ = 70

∣ 4 x + 4 ∣ = 8

- ∣ x ∣ + 9 = - 35