What is the answer to -4|x+3|=-28 ?

The answer to -4|x+3|=-28 is x=-10\lor x=4

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-4|x+3|=-28

- 4 ∣ x + 3 ∣ = - 28

x = - 10 or x = 4

Solution steps

- 4 ∣ x + 3 ∣ = - 28

Divide both sides by

- 4

∣ x + 3 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 3 = - 7 or x + 3 = 7

x + 3 = - 7 or x + 3 = 7

x = - 10 or x = 4

- 5 ∣ m - 7 ∣ + 2 = - 15

3 ∣ x ∣ + 1 = - 2 x^{4} - x + 2

6 ∣ 21 x - 13 ∣ = 24

5 ∣ - 4 x - 6 ∣ + 8 = 1

- 2 ∣ z - 17 ∣ + 10 = 3