102×[(x-2)[×6-7×5+1=204

It seems like the equation you provided is a bit jumbled. Let's break it down step-by-step.

First, it looks like you're trying to set up an equation that involves multiplying \( 102 \) by something involving \( (x-2) \).

Let's rewrite your expression cleanly:

\[
102 \times \left[(x-2) \times 6 - 7 \times 5 + 1\right] = 204
\]

Now let's simplify the expression inside the brackets:

1. Calculate \( 7 \times 5 \):
\[
7 \times 5 = 35
\]

2. Substitute this back into the equation:
\[
102 \times \left[(x-2) \times 6 - 35 + 1\right] = 204
\]

3. Simplify \( -35 + 1 \):
\[
-35 + 1 = -34
\]

4. Substitute this back into the equation:
\[
102 \times \left[(x-2) \times 6 - 34\right] = 204
\]

Next, divide both sides of the equation by \( 102 \):
\[
(x-2) \times 6 - 34 = \frac{204}{102}
\]

Calculating the right side:
\[
\frac{204}{102} = 2
\]

Now our equation simplifies to:
\[
(x-2) \times 6 - 34 = 2
\]

Next, add \( 34 \) to both sides:
\[
(x-2) \times 6 = 36
\]

Now, divide both sides by \( 6 \):
\[
x-2 = 6
\]

Finally, add \( 2 \) to both sides to solve for \( x \):
\[
x = 8
\]

So, the solution is:
\[
\boxed{8}
\]