What is the answer to -2|2x+6|=-8 ?

The answer to -2|2x+6|=-8 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 >

-2|2x+6|=-8

- 2 ∣ 2 x + 6 ∣ = - 8

x = - 5 or x = - 1

Solution steps

- 2 ∣ 2 x + 6 ∣ = - 8

Divide both sides by

- 2

∣ 2 x + 6 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x + 6 = - 4 or 2 x + 6 = 4

2 x + 6 = - 4 or 2 x + 6 = 4

x = - 5 or x = - 1

∣ - 6 + x ∣ = 9

∣ 3 x - 1 ∣ = 2 x + 2

x^{2} - ∣ x ∣ - 12 = 0

∣ 5 - 2 x ∣ = 1818

∣ 20 - x ∣ = 40