To determine if \( x = -14 \) is a solution for the equation \( 5x + 16 - x = -68 \), we'll substitute \( -14 \) for \( x \) in the equation and check if both sides are equal.
Start with the equation:
\[ 5x + 16 - x = -68 \]
Substituting \( x = -14 \):
\[ 5(-14) + 16 - (-14) = -68 \]
Calculating the left side:
\[ 5(-14) = -70 \] \[ -70 + 16 = -54 \] \[ -54 - (-14) = -54 + 14 = -40 \]
Now we have:
\[ -40 \neq -68 \]
Since \(-40\) is not equal to \(-68\), it confirms that \( x = -14 \) is not a solution of the equation.
Thus, the answer is:
not a solution