Answer:
x = 8 and x = 2 are both valid solutions.
There are no extraneous answers.
Explanation:
Given absolute value function:

To solve an equation containing an absolute value, isolate the absolute value on one side of the equation:



Set the contents of the absolute value equal to both the positive and negative value of the number on the other side of the equation, then solve both equations.
Equation 1 (positive)





Equation 2 (negative)





Therefore, the solutions are x = 8 and x = 2.
Check if the solutions are valid by substituting them into the original equation:


Therefore, both solutions are valid and there are no extraneous answers.
Note: An extraneous solution is a solution that is produced by solving the problem, but is not a valid solution to the problem.