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

The answer to 7|2x-3|=7 is x=1\lor x=2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

7|2x-3|=7

7 ∣ 2 x - 3 ∣ = 7

x = 1 or x = 2

Solution steps

7 ∣ 2 x - 3 ∣ = 7

Divide both sides by

7

∣ 2 x - 3 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 3 = - 1 or 2 x - 3 = 1

2 x - 3 = - 1 or 2 x - 3 = 1

x = 1 or x = 2

∣ A ∣^{2} = \frac{1}{3}

∣ p - 3 ∣ + 8 = 12

57 = ∣ j + 7 ∣

3 x^{2} - 1 = 0

∣ 7 x + 8 ∣ = ∣ 10 x + 4 ∣