What is the answer to 2|x+4|-6=14 ?

The answer to 2|x+4|-6=14 is x=-14\lor x=6

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2|x+4|-6=14

2 ∣ x + 4 ∣ - 6 = 14

x = - 14 or x = 6

Solution steps

2 ∣ x + 4 ∣ - 6 = 14

Move

6

to the right side

2 ∣ x + 4 ∣ = 20

Divide both sides by

2

∣ x + 4 ∣ = 10

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 4 = - 10 or x + 4 = 10

x + 4 = - 10 or x + 4 = 10

x = - 14 or x = 6

48 y - 13 + 12 y = 72 y - 3 - 24 y

\frac{8}{4} \cdot \frac{4}{12}

25 - (x^{2} + 4 x + 4)

(x - 2)^{2} = 81

4 + 25