What is the answer to 4|x+6|=16 ?

The answer to 4|x+6|=16 is x=-10\lor x=-2

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4|x+6|=16

4 ∣ x + 6 ∣ = 16

x = - 10 or x = - 2

Solution steps

4 ∣ x + 6 ∣ = 16

Divide both sides by

4

∣ x + 6 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 6 = - 4 or x + 6 = 4

x + 6 = - 4 or x + 6 = 4

x = - 10 or x = - 2

2 ∣ x - 3 ∣ = 12

x^{2} + 3 x = 4

∣ 7 x ∣ + 8 = 15

- ∣ 7 - x ∣ - 5 = - 12 - 12

- 5 = \frac{∣ r - 7 ∣}{- 3}