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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

9-|3x+9|=3

9 - ∣ 3 x + 9 ∣ = 3

x = - 5 or x = - 1

Solution steps

9 - ∣ 3 x + 9 ∣ = 3

Move

9

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

∣ 3 x - 2 ∣ = 9

∣ v ∣ - 4 = 4

∣ x + 2 ∣ = - \frac{3}{2}

∣ x + 14 ∣ + 3 = 17

2 ∣ 3 x + 4 ∣ - 7 = - 33