It looks like you're trying to solve an equation involving a ratio. Let's break down the equation you've provided:

\[
\frac{30}{x - 2} = \frac{1030}{x - 2} = 10
\]

Since both fractions equal 10, we can set each of them equal to 10 separately.

First, set up the equation for \(30\):

\[
\frac{30}{x - 2} = 10
\]

To solve for \(x\), we can multiply both sides by \(x - 2\) (assuming \(x - 2 \neq 0\)):

\[
30 = 10(x - 2)
\]

Expanding the right side gives:

\[
30 = 10x - 20
\]

Now, add 20 to both sides:

\[
30 + 20 = 10x
\]

\[
50 = 10x
\]

Now, divide both sides by 10:

\[
x = \frac{50}{10} = 5
\]

Now let's check the second part of the ratio for \(1030\):

\[
\frac{1030}{x - 2} = 10
\]

Again, multiply both sides by \(x - 2\):

\[
1030 = 10(x - 2)
\]

Expanding gives:

\[
1030 = 10x - 20
\]

Adding 20 to both sides results in:

\[
1030 + 20 = 10x
\]

\[
1050 = 10x
\]

Dividing by 10 gives:

\[
x = \frac{1050}{10} = 105
\]

However, since we found \(x\) by two different fractions, they should yield the same result for the \(x\) solution.

Thus, the solution \(x\) that satisfies both equations is:

\[
x = 105
\]

To summarize, the solution to the equation is:

\[
\boxed{105}
\]