What is the answer to 3|x+7|=15 ?

The answer to 3|x+7|=15 is x=-12\lor x=-2

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3|x+7|=15

3 ∣ x + 7 ∣ = 15

x = - 12 or x = - 2

Solution steps

3 ∣ x + 7 ∣ = 15

Divide both sides by

3

∣ x + 7 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 7 = - 5 or x + 7 = 5

x + 7 = - 5 or x + 7 = 5

x = - 12 or x = - 2

3 ∣ x + 7 ∣ = 12

∣ x - 2 ∣ = - 3 x + 18

11 = 8 ∣ h ∣ - 3

x = ln (C (x) u (x) (x)^{2})

∣ 3 (x + 1) ∣ = 15