What is the answer to 3|2x-6|+2=14 ?

The answer to 3|2x-6|+2=14 is x=1\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-6|+2=14

3 ∣ 2 x - 6 ∣ + 2 = 14

x = 1 or x = 5

Solution steps

3 ∣ 2 x - 6 ∣ + 2 = 14

Move

2

to the right side

3 ∣ 2 x - 6 ∣ = 12

Divide both sides by

3

∣ 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 = 1 or x = 5

- 2 ∣ - 3 x - 5 ∣ = 0

∣ - x + 2 ∣ = 3

∣ 5 x - 2 ∣ = 5

5 = ∣ z - 15 ∣

3 ∣ 2 - x ∣ - 15 = 4