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Popular >

1=|x-1|+1

Solution

1 = ∣ x - 1 ∣ + 1

Solution

x = 1

Solution steps

1 = ∣ x - 1 ∣ + 1

Subtract

1

from both sides

1 - 1 = ∣ x - 1 ∣ + 1 - 1

Simplify

0 = ∣ x - 1 ∣

Switch sides

∣ x - 1 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

x - 1 = 0

x - 1 = 0 : x = 1

x = 1

Graph

Popular Examples

solvefor x,a=|x-1|+|y-3|solve for

x, a = ∣ x - 1 ∣ + ∣ y - 3 ∣

\frac{1}{3} ∣ x + 6 ∣ - 5 = 7

∣ x - 1 ∣ + 9 = 0

∣ - x ∣ = 6

2 - 5 ∣ 4 + 5 x ∣ = - 103

Frequently Asked Questions (FAQ)

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