15 - 2(x - 2) = 22 + x.

To solve the equation \( 15 - 2(x - 2) = 22 + x \), first distribute the \(-2\) on the left side:

\[ 15 - 2x + 4 = 22 + x \]

Combine like terms on the left side:

\[ 19 - 2x = 22 + x \]

Next, isolate the variable \(x\) by adding \(2x\) to both sides:

\[ 19 = 22 + 3x \]

Now, subtract \(22\) from both sides:

\[ 19 - 22 = 3x \]

This simplifies to:

\[ -3 = 3x \]

Now, divide both sides by \(3\) to solve for \(x\):

\[ x = -1 \]

Thus, the solution to the equation is:

\[ \boxed{-1} \]