What is the answer to 4|2x-1|=8 ?

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

Solve for x: 4|2x-1|=8

The solution is x=-1/2 \lor x= 3/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4 ∣ 2 x - 1 ∣ = 8

x = - \frac{1}{2} or x = \frac{3}{2}

Decimal Notation

x = - 0.5, x = 1.5

Solution steps

4 ∣ 2 x - 1 ∣ = 8

Divide both sides by

4

∣ 2 x - 1 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = - \frac{1}{2} or x = \frac{3}{2}

∣ - 2 x + 4 ∣ = 16

∣ 8 - 2 t ∣ = - 6

∣ 3 x + 1 ∣ + 5 = xx

∣ - 2 x + 4 ∣ = - 2

∣ - 2 n ∣ = 4