What is the answer to 3|2x-3|=21 ?

The answer to 3|2x-3|=21 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 >

3|2x-3|=21

3 ∣ 2 x - 3 ∣ = 21

x = - 2 or x = 5

Solution steps

3 ∣ 2 x - 3 ∣ = 21

Divide both sides by

3

∣ 2 x - 3 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = - 2 or x = 5

1.1 (x - 0.7) + 0.5 x = 1.4 (x - 1.4) + 0.63

∣ x - 1 ∣ \leq 2

400 + x = 3 x

- 2 x + 3 + x > - x - 1

3 x^{2} - 18 x - 21