To solve the equation \(1000 + 38x = -900 + 40\), first simplify the right side:
\[ -900 + 40 = -860 \]
Now the equation becomes:
\[ 1000 + 38x = -860 \]
Next, subtract \(1000\) from both sides:
\[ 38x = -860 - 1000 \]
This simplifies to:
\[ 38x = -1860 \]
Now, divide both sides by \(38\) to solve for \(x\):
\[ x = \frac{-1860}{38} \]
Calculating that gives:
\[ x = -49 \]
So the solution is:
\[ \boxed{-49} \]