What is the answer to 8-|3x+9|=5 ?

The answer to 8-|3x+9|=5 is x=-4\lor x=-2

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8-|3x+9|=5

8 - ∣ 3 x + 9 ∣ = 5

x = - 4 or x = - 2

Solution steps

8 - ∣ 3 x + 9 ∣ = 5

Move

8

to the right side

- ∣ 3 x + 9 ∣ = - 3

Divide both sides by

- 1

∣ 3 x + 9 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = - 4 or x = - 2

\frac{1}{7} x \geq 2

(3 x + 1) (x - 2) > (x - 3) (3 x + 4)

26.5 + 0.15 = 14.5 \cdot 0.25

- 4 \leq x^{2} + 3 x - 4 \leq 6

4.905 t^{2} - 23.64 t + 10 = 0