Solve the equation.
2 StartAbsoluteValue x minus 6 EndAbsoluteValue equals 16
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Part 1
Select the correct choice and, if necessary, fill in the answer box in your choice below.
A.
xequals
enter your response here
(Simplify your answer. Use a comma to separate answers as needed.)
B.
There is no solution.
To solve the equation, we need to isolate the absolute value term.
To do this, we can divide both sides of the equation by 2:
| x - 3 | = 8
Now, we can split the equation into two separate cases:
1) x - 3 = 8
Solving for x:
x = 8 + 3 = 11
2) x - 3 = -8
Solving for x:
x = -8 + 3 = -5
So the solution to the equation is x = 11 or x = -5.
Therefore, the correct choice is:
A. x = 11, -5