What is the answer to 3|x+7|=24 ?

The answer to 3|x+7|=24 is x=-15\lor x=1

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3|x+7|=24

3 ∣ x + 7 ∣ = 24

x = - 15 or x = 1

Solution steps

3 ∣ x + 7 ∣ = 24

Divide both sides by

3

∣ x + 7 ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 7 = - 8 or x + 7 = 8

x + 7 = - 8 or x + 7 = 8

x = - 15 or x = 1

- 4 ∣ 8 - 5 n ∣ = 12

3 ∣ - d ∣ = 9

∣ 3 n - 5 ∣ - 8 = 12

2 ∣ 3 x - 7 ∣ + 8 = 18

x^{2} + x - 2 = 0