What is the answer to 4|x+2|=40 ?

The answer to 4|x+2|=40 is x=-12\lor x=8

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4|x+2|=40

4 ∣ x + 2 ∣ = 40

x = - 12 or x = 8

Solution steps

4 ∣ x + 2 ∣ = 40

Divide both sides by

4

∣ x + 2 ∣ = 10

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 2 = - 10 or x + 2 = 10

x + 2 = - 10 or x + 2 = 10

x = - 12 or x = 8

∣ 5 - 3 x ∣ - 4 = 8

- ∣ x + 3 ∣ = - 21

a, ∣ x - a ∣ = 3 x + 1

∣ x ∣ = - ∣ y ∣

2 ∣ x + 1 ∣ + 1 = - 3