What is the answer to 5|2x-5|=15 ?

The answer to 5|2x-5|=15 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 >

5|2x-5|=15

5 ∣ 2 x - 5 ∣ = 15

x = 1 or x = 4

Solution steps

5 ∣ 2 x - 5 ∣ = 15

Divide both sides by

5

∣ 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

8 (\frac{1}{4} x + \frac{3}{4}) - 3 = 17

(- 8)^{\frac{5}{3}}

x + (x + 1) = 11

x - 7 < - 2

x - 4 > 4 (x - 1)