What is the answer to 3|2x-2|=24 ?

The answer to 3|2x-2|=24 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 >

3|2x-2|=24

3 ∣ 2 x - 2 ∣ = 24

x = - 3 or x = 5

Solution steps

3 ∣ 2 x - 2 ∣ = 24

Divide both sides by

3

∣ 2 x - 2 ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 2 = - 8 or 2 x - 2 = 8

2 x - 2 = - 8 or 2 x - 2 = 8

x = - 3 or x = 5

\frac{q}{3} = 4

\frac{z}{4} + 8 = - 13

3 ∣ 4 - 7 x ∣ - 10 = - 1

- 8 - 3 ∣ - 5 x - 3 ∣ = 19

- 15 = ∣ 5 z ∣