The equation you've provided appears to be set up incorrectly, with repeated components that don't logically connect. It’s unclear whether you meant for them to be equal or how they should relate.

If you intended to solve for \( x \) in the equation:

\[
(12 - x - 4^3) \cdot 8^3 = 48^4
\]

We start by simplifying:

1. Calculate \( 4^3 \):
\[
4^3 = 64
\]

2. Substitute back:
\[
(12 - x - 64) \cdot 8^3 = 48^4
\]

3. Simplify inside the parenthesis:
\[
(12 - 64 - x) = (-52 - x)
\]

4. Calculate \( 8^3 \):
\[
8^3 = 512
\]

The equation now is:
\[
(-52 - x) \cdot 512 = 48^4
\]

5. Calculate \( 48^4 \):
\[
48^4 = 5308416
\]

The equation becomes:
\[
(-52 - x) \cdot 512 = 5308416
\]

6. Divide both sides by 512 to solve for \( -52 - x \):
\[
-52 - x = \frac{5308416}{512}
\]

7. Simplify the division:
\[
-52 - x = 10368
\]

8. Solve for \( x \):
\[
-x = 10368 + 52
\]
\[
-x = 10420
\]
\[
x = -10420
\]

The value of \( x \) is \(-10420\).