What is the answer to 8-|3x+9|=2 ?

The answer to 8-|3x+9|=2 is x=-5\lor x=-1

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8-|3x+9|=2

8 - ∣ 3 x + 9 ∣ = 2

x = - 5 or x = - 1

Solution steps

8 - ∣ 3 x + 9 ∣ = 2

Move

8

to the right side

- ∣ 3 x + 9 ∣ = - 6

Divide both sides by

- 1

∣ 3 x + 9 ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x + 9 = - 6 or 3 x + 9 = 6

3 x + 9 = - 6 or 3 x + 9 = 6

x = - 5 or x = - 1

60 (2 x - 1) = 15 (8 x + 5)

\frac{x}{8} > - 3

- 8 < x - 1 < 5

x^{3} - 5 x + 4

x^{3} - 49 x > 0