How do you solve |x+4|=6 ?

Patricia Crane

Patricia Crane

Answered question

2021-12-18

How do you solve |x+4|=6 ?

Answer & Explanation

Linda Birchfield

Linda Birchfield

Beginner2021-12-19Added 39 answers

The absolute value function takes any term and transforms it to its non-negative form. Therefore, we must solve the term within the absolute value function for both its negative and positive equivalent.
Solution:
x+4=6
x+44=64
x+0=10
x=10
Solution 2
x+4=6
x+44=64
x+0=2
x=2
The solutions Are: x=10 and x=2
Toni Scott

Toni Scott

Beginner2021-12-20Added 32 answers

Remove the absolute value term. This creates a ± on the right side of the equation because |x|=±x
x+4=±6
Set up the positive portion of the ± solution
x+4=6
Move all terms not containing x to the right side of the equation.
x=2
Set up the negative portion of the ± solution.
x+4=6
Move all terms not containing x to the right side of the equation.
x=10
The solution to the equation includes both the positive and negative portions of the solution.
x=2,10

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