What is the answer to 4|3x-2|=40 ?

The answer to 4|3x-2|=40 is x=-8/3 \lor x=4

Solve for x: 4|3x-2|=40

The solution is x=-8/3 \lor x=4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4 ∣ 3 x - 2 ∣ = 40

x = - \frac{8}{3} or x = 4

Decimal Notation

x = - 2.66666 \dots, x = 4

Solution steps

4 ∣ 3 x - 2 ∣ = 40

Divide both sides by

4

∣ 3 x - 2 ∣ = 10

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 2 = - 10 or 3 x - 2 = 10

3 x - 2 = - 10 or 3 x - 2 = 10

x = - \frac{8}{3} or x = 4

∣ x - 8 ∣ = 0

∣ x + 2 ∣ - 3 = 4

∣ 2 x - 8 ∣ = x - 1

∣ 2 x - 1 ∣ - 3 = 0

∣ 5 q - 6 ∣ - 4 = 10