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Popular >

4|x-3|+1=1

Solution

4 ∣ x - 3 ∣ + 1 = 1

Solution

x = 3

Solution steps

4 ∣ x - 3 ∣ + 1 = 1

Subtract

1

from both sides

4 ∣ x - 3 ∣ + 1 - 1 = 1 - 1

Simplify

4 ∣ x - 3 ∣ = 0

Divide both sides by

4

∣ x - 3 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

x - 3 = 0

x - 3 = 0 : x = 3

x = 3

Popular Examples

∣ w ∣ = - 3

∣ 5 x - 1 ∣ = 3 x + 7

∣ 3 x - 2 ∣ + x = 11

∣ 5 x + 3 ∣ = - 4

∣ 2 x + 7 ∣ - 2 = 10

Frequently Asked Questions (FAQ)

What is the answer to 4|x-3|+1=1 ?
The answer to 4|x-3|+1=1 is x=3
Solve for x: 4|x-3|+1=1
The solution is x=3