What is the answer to 3-|8x+6|=3 ?

The answer to 3-|8x+6|=3 is x=-3/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3-|8x+6|=3

3 - ∣ 8 x + 6 ∣ = 3

x = - \frac{3}{4}

Decimal Notation

x = - 0.75

Solution steps

3 - ∣ 8 x + 6 ∣ = 3

Subtract

3

from both sides

3 - ∣ 8 x + 6 ∣ - 3 = 3 - 3

Simplify

- ∣ 8 x + 6 ∣ = 0

Divide both sides by

- 1

∣ 8 x + 6 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

8 x + 6 = 0

8 x + 6 = 0 : x = - \frac{3}{4}

x = - \frac{3}{4}

∣ 8 x - 4 ∣ = 44

∣ 9 z + 4 ∣ - 8 = 0

∣ 4 x - 8 ∣ = 20

8 - ∣ 2 - 3 x ∣ = 5

∣ 5 y + 10 ∣ = 5