What is the answer to 2|x-1|=8 ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2|x-1|=8

2 ∣ x - 1 ∣ = 8

x = - 3 or x = 5

Solution steps

2 ∣ x - 1 ∣ = 8

Divide both sides by

2

∣ x - 1 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 1 = - 4 or x - 1 = 4

x - 1 = - 4 or x - 1 = 4

x = - 3 or x = 5

∣ 3 x - 4 ∣ = x^{2}

0 = ∣ x - 1 ∣ - 2

\frac{x}{3} + 4 = 5

∣ v ∣ = 2

x, ∣ x - y ∣ = 1