What is the answer to -|3+x|=-2 ?

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

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-|3+x|=-2

- ∣ 3 + x ∣ = - 2

x = - 5 or x = - 1

Solution steps

- ∣ 3 + x ∣ = - 2

Divide both sides by

- 1

∣ 3 + x ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 + x = - 2 or 3 + x = 2

3 + x = - 2 or 3 + x = 2

x = - 5 or x = - 1

- ∣ 3 + x ∣ = - 3

∣ 2 x - 4 ∣ + 12 = 0

(2 - ∣ k + 1 ∣) = - 6

∣ z - 1 ∣ = 0

∣ x - 2 ∣ = \frac{x}{2} + 1