What is the answer to 7|2x-5|=21 ?

The answer to 7|2x-5|=21 is x=1\lor x=4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

7|2x-5|=21

7 ∣ 2 x - 5 ∣ = 21

x = 1 or x = 4

Solution steps

7 ∣ 2 x - 5 ∣ = 21

Divide both sides by

7

∣ 2 x - 5 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 5 = - 3 or 2 x - 5 = 3

2 x - 5 = - 3 or 2 x - 5 = 3

x = 1 or x = 4

∣ x ∣ + 5 = 1

∣ 4 x + 1 ∣ + 3 = - 7

x^{2} + 6 - 8 = ∣ x + 4 ∣ + 4

∣ x + 8 ∣ + 4 = 0

0.5 ∣ 8.8 - 1.6 x ∣ = 2