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To simplify the polynomial \((3x^2 - 2x - 5) + (2x^2 + x - 10)\), we can combine like terms:
1. Combine the \(x^2\) terms:
\[
3x^2 + 2x^2 = 5x^2
\]
2. Combine the \(x\) terms:
\[
-2x + x = -x
\]
3. Combine the constant terms:
\[
-5 - 10 = -15
\]
Now we can put it all together:
\[
5x^2 - x - 15
\]
Thus, the simplified polynomial in standard form is:
\[
\boxed{5x^2 - x - 15}
\]