To solve this equation, we need to isolate the terms with x on one side of the equation.

Starting with the given equation:

5^x + 6 - 3^x + 7 = 435^x + 4 - 193^x + 5

Combine like terms:

5^x - 3^x + 13 = 435^x - 193^x + 9

Rearrange the terms:

5^x - 435^x = 193^x - 3^x - 4

Factor out the common terms:

5^x(1 - 43) = 3^x(19 - 1) - 4

Simplify:

-385^x = 183^x - 4

Divide by -4:

9.55^x = -4.53^x + 1

This equation requires numerical methods to solve, as it does not reduce to a simple form.