What is the answer to 5+3|2x-7|=14 ?

The answer to 5+3|2x-7|=14 is x=2\lor x=5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

5+3|2x-7|=14

5 + 3 ∣ 2 x - 7 ∣ = 14

x = 2 or x = 5

Solution steps

5 + 3 ∣ 2 x - 7 ∣ = 14

Move

5

to the right side

3 ∣ 2 x - 7 ∣ = 9

Divide both sides by

3

∣ 2 x - 7 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 7 = - 3 or 2 x - 7 = 3

2 x - 7 = - 3 or 2 x - 7 = 3

x = 2 or x = 5

∣ x - 4 ∣ + ∣ x - 10 ∣ = 5

∣ 2 x + 4 ∣ + ∣ 3 x + 6 ∣ = 10

∣ 2 x - 1 ∣ = x - 3

∣ 2 x + 1 ∣ = ∣ 3 x + 3 ∣

2 ∣ 4 - 2 x ∣ = 9 - x