What is the answer to -|x+3|=-21 ?

The answer to -|x+3|=-21 is x=-24\lor x=18

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-|x+3|=-21

- ∣ x + 3 ∣ = - 21

x = - 24 or x = 18

Solution steps

- ∣ x + 3 ∣ = - 21

Divide both sides by

- 1

∣ x + 3 ∣ = 21

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 3 = - 21 or x + 3 = 21

x + 3 = - 21 or x + 3 = 21

x = - 24 or x = 18

a, ∣ x - a ∣ = 3 x + 1

∣ x ∣ = - ∣ y ∣

2 ∣ x + 1 ∣ + 1 = - 3

∣ x - 2 ∣ = - \frac{1}{2} x + 4

x^{2} + 7 = x^{2} - 4