en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

1=-|x-2|+1

Solution

1 = - ∣ x - 2 ∣ + 1

Solution

x = 2

Solution steps

1 = - ∣ x - 2 ∣ + 1

Subtract

1

from both sides

1 - 1 = - ∣ x - 2 ∣ + 1 - 1

Simplify

0 = - ∣ x - 2 ∣

Move

∣ x - 2 ∣

to the left side

∣ x - 2 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

x - 2 = 0

x - 2 = 0 : x = 2

x = 2

Graph

Popular Examples

∣ 2 x + 5 ∣ = - 8

9 - 2 ∣ 4 x - 2 ∣ = - 3

∣ 2 x + 1 ∣ = ∣ 3 x - 3 ∣

1 - ∣ x ∣ = 0

x + ∣ x ∣ - 4 = 0

Frequently Asked Questions (FAQ)

What is the answer to 1=-|x-2|+1 ?
The answer to 1=-|x-2|+1 is x=2
Solve for x: 1=-|x-2|+1
The solution is x=2