To solve the equation, we can start by simplifying both sides:

4 - (7 - x) = x - (13 - 4)

First, let's simplify the expression inside the parentheses on both sides:

4 - 7 + x = x - 13 + 4

Next, let's simplify further:

-3 + x = x - 9

Now, let's isolate the variable on one side of the equation. We can do this by subtracting x from both sides:

-3 + x - x = x - x - 9

Simplifying further:

-3 = -9

However, this equation is not true. Therefore, there is no solution to the equation.