Tell whether the given value of the variable is a solution of the equation.

5x + 16 - x = -68; x = -14
Group of answer choices

solution

not a solution

1 answer

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