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

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

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3|x-7|=15

3 ∣ x - 7 ∣ = 15

x = 2 or x = 12

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 = 2 or x = 12

7 ∣ 2 a + 4 ∣ + 7 = 105

16 - x^{2} = 0

- 6 ∣ r + 3 ∣ = - 24

5 = ∣ d - 4 ∣

∣ g + 2 ∣ = 16