Question

3-2|x-5|=9 What is the value of x? ​

Answer 1

Answer: No Solution

Explanation

First, subtract 3 from both sides:

3 - 3 - 2|x - 5| = 9 - 3

-2|x - 5| = 6

Next, divide by -2 on both sides:

-2|x - 5|/-2 = 6/-2

|x - 5| = -3

There is no solution to this equation because absolute value can never be negative. Absolute value is always positive.

So,

|x - 5| ≠ -3