To solve the equation \( x - x - x^3 = 26 - 1 + 2 \), let's first simplify the right side.
\[ 26 - 1 + 2 = 25 + 2 = 27 \]
Now the equation looks like this:
\[ x - x - x^3 = 27 \]
The \( x - x \) cancels out, simplifying our equation to:
\[ -x^3 = 27 \]
Now, multiply both sides by -1:
\[ x^3 = -27 \]
To find \( x \), take the cube root of both sides:
\[ x = \sqrt[3]{-27} \]
Since \( -27 = -3^3 \), we have:
\[ x = -3 \]
Thus, the solution is:
\[ \boxed{-3} \]