What is the answer to 12-3|x-3|=4 ?

The answer to 12-3|x-3|=4 is x= 1/3 \lor x= 17/3

Solve for x: 12-3|x-3|=4

The solution is x= 1/3 \lor x= 17/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

12 - 3 ∣ x - 3 ∣ = 4

x = \frac{1}{3} or x = \frac{17}{3}

Decimal Notation

x = 0.33333 \dots, x = 5.66666 \dots

Solution steps

12 - 3 ∣ x - 3 ∣ = 4

Move

12

to the right side

- 3 ∣ x - 3 ∣ = - 8

Divide both sides by

- 3

∣ x - 3 ∣ = \frac{8}{3}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = \frac{1}{3} or x = \frac{17}{3}

∣ 3 x - 5 ∣ = 5 x - 1

∣ x - 3 ∣ = - 6

∣ 8 x ∣ = 32

∣ 2 x + 3 ∣ = x - 4

∣ 2 x ∣ = 14

What is the answer to 12-3|x-3|=4 ?
The answer to 12-3|x-3|=4 is x= 1/3 \lor x= 17/3
Solve for x: 12-3|x-3|=4
The solution is x= 1/3 \lor x= 17/3