What is the answer to -1=2|x-4|-3 ?

The answer to -1=2|x-4|-3 is x=3\lor x=5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

-1=2|x-4|-3

- 1 = 2 ∣ x - 4 ∣ - 3

x = 3 or x = 5

Solution steps

- 1 = 2 ∣ x - 4 ∣ - 3

Switch sides

2 ∣ x - 4 ∣ - 3 = - 1

Move

3

to the right side

2 ∣ x - 4 ∣ = 2

Divide both sides by

2

∣ x - 4 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 4 = - 1 or x - 4 = 1

x - 4 = - 1 or x - 4 = 1

x = 3 or x = 5

0 = ∣ x ∣ - 3

15 = 2 - ∣ p - 3 ∣

\frac{x}{3} - 1 + 2 = 0

∣ x - 6 ∣ = 13

∣ x - 4 ∣ + 6 = 13