What is the answer to |3x-4|+2=6 ?

The answer to |3x-4|+2=6 is x=0\lor x= 8/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|3x-4|+2=6

∣ 3 x - 4 ∣ + 2 = 6

x = 0 or x = \frac{8}{3}

Decimal Notation

x = 0, x = 2.66666 \dots

Solution steps

∣ 3 x - 4 ∣ + 2 = 6

Move

2

to the right side

∣ 3 x - 4 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 4 = - 4 or 3 x - 4 = 4

3 x - 4 = - 4 or 3 x - 4 = 4

x = 0 or x = \frac{8}{3}

∣ 3 x - 4 ∣ + 2 = 7

5 - 8 ∣ 3 x + 3 ∣ = - 43

∣ 2 x - 4 ∣ = x - 1

- 9 ∣ - 2 - 5 n ∣ = - 108

\frac{1}{4} x - 4 = - 4