What is the answer to 15=4|x-5|+3 ?

The answer to 15=4|x-5|+3 is x=2\lor x=8

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

15=4|x-5|+3

15 = 4 ∣ x - 5 ∣ + 3

x = 2 or x = 8

Solution steps

15 = 4 ∣ x - 5 ∣ + 3

Switch sides

4 ∣ x - 5 ∣ + 3 = 15

Move

3

to the right side

4 ∣ x - 5 ∣ = 12

Divide both sides by

4

∣ x - 5 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 5 = - 3 or x - 5 = 3

x - 5 = - 3 or x - 5 = 3

x = 2 or x = 8

∣ b - 9 ∣ = 0

∣ 7 x - 2 ∣ = 2

∣ 7 x - 2 ∣ = 4

5 ∣ x + 7 ∣ - 2 = 18

x^{2} + 3 ∣ x ∣ + 4 = 0