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To solve the equation

\[ (19 + 2x) - (5x - 11) = 25, \]

we first simplify the left side of the equation.

1. Distribute the negative sign through the second parentheses:

\[ (19 + 2x) - 5x + 11 = 25. \]

2. Combine like terms on the left side:

\[ 19 + 11 + 2x - 5x = 25. \]

This simplifies to:

\[ 30 - 3x = 25. \]

3. Now, isolate the variable \(x\). Subtract 30 from both sides:

\[ -3x = 25 - 30, \]

which simplifies to:

\[ -3x = -5. \]

4. Divide both sides by -3:

\[ x = \frac{-5}{-3} = \frac{5}{3}. \]

Thus, the solution is

\[ x = \frac{5}{3}. \]