Question

Solve the absolute value equation 2|x−3|−4=−4
.(1 point)
The solution to the absolute value equation is x=

Answer 1

To solve the equation \(2|x - 3| - 4 = -4\), we first isolate the absolute value term.

1. Add 4 to both sides:
\[
2|x - 3| - 4 + 4 = -4 + 4
\]
This simplifies to:
\[
2|x - 3| = 0
\]

2. Next, divide both sides by 2:
\[
|x - 3| = 0
\]

3. Now, solve the absolute value equation:
\[
x - 3 = 0
\]
Therefore:
\[
x = 3
\]

So, the solution to the absolute value equation is \(x = 3\).