What is the answer to 3|x+2|=15 ?

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

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3|x+2|=15

3 ∣ x + 2 ∣ = 15

x = - 7 or x = 3

Solution steps

3 ∣ x + 2 ∣ = 15

Divide both sides by

3

∣ x + 2 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 2 = - 5 or x + 2 = 5

x + 2 = - 5 or x + 2 = 5

x = - 7 or x = 3

- 7 ∣ 8 x - 5 ∣ + 2 = - 16

∣ k - 9 ∣ = 4

∣ 2 \cdot x ∣ = x + 2

\frac{1}{2} x = 9

x, 3 - y = ∣ x ∣