What is the answer to 4|2x-3|=8 ?

The answer to 4|2x-3|=8 is x= 1/2 \lor x= 5/2

Solve for x: 4|2x-3|=8

The solution is x= 1/2 \lor x= 5/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4 ∣ 2 x - 3 ∣ = 8

x = \frac{1}{2} or x = \frac{5}{2}

Decimal Notation

x = 0.5, x = 2.5

Solution steps

4 ∣ 2 x - 3 ∣ = 8

Divide both sides by

4

∣ 2 x - 3 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = \frac{1}{2} or x = \frac{5}{2}

∣ p + 6 ∣ + 6 = 32

∣ 2 x + 4 ∣ - 3 = 3

0 = ∣ - 7 r ∣

∣ 3 x + 1 ∣ = - 4 x + 2

∣ - 12 x + 13 ∣ + 4 = 9 x