To solve the equation \(118 - (x + 19) = 19\), follow these steps:

1. Distribute the negative sign inside the parentheses:
\[
118 - x - 19 = 19
\]

2. Combine like terms on the left side of the equation:
\[
99 - x = 19
\]

3. Isolate the variable \(x\) by subtracting 99 from both sides:
\[
-x = 19 - 99
\]

4. Simplify the right side:
\[
-x = -80
\]

5. Multiply both sides by -1 to solve for \(x\):
\[
x = 80
\]

So, the solution to the equation is \(x = 80\).