What is the answer to 3|2x-5|+5=8 ?

The answer to 3|2x-5|+5=8 is x=2\lor x=3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3|2x-5|+5=8

3 ∣ 2 x - 5 ∣ + 5 = 8

x = 2 or x = 3

Solution steps

3 ∣ 2 x - 5 ∣ + 5 = 8

Move

5

to the right side

3 ∣ 2 x - 5 ∣ = 3

Divide both sides by

3

∣ 2 x - 5 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 5 = - 1 or 2 x - 5 = 1

2 x - 5 = - 1 or 2 x - 5 = 1

x = 2 or x = 3

15 = 8 ∣ 7 - 8 h ∣ - 5

∣ 2 x + 1 ∣ = x + 1

9 = 3 ∣ p ∣

9 - x^{2} + 1 = 0

4 - ∣ 3 x + 1 ∣ = 5