What is the answer to 2|x+4|=20 ?

The answer to 2|x+4|=20 is x=-14\lor x=6

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2|x+4|=20

2 ∣ x + 4 ∣ = 20

x = - 14 or x = 6

Solution steps

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

∣ 3 r + 10 ∣ = 20

3 - ∣ 3 x + 9 ∣ = 6

- 2 ∣ x ∣ = 10

∣ x + 3 ∣ + 9 = 25

∣ 3 x - 2 ∣ = x + 2