To solve the equation \( 5x + 14 = k \) for \( x \), follow these steps:
1. We start with the given equation:
[tex]\[
5x + 14 = k
\][/tex]
2. The goal is to isolate \( x \) on one side of the equation. First, subtract 14 from both sides to remove the constant term on the left side:
[tex]\[
5x + 14 - 14 = k - 14
\][/tex]
Simplifying this gives:
[tex]\[
5x = k - 14
\][/tex]
3. Next, to solve for \( x \), divide both sides of the equation by 5 to isolate \( x \):
[tex]\[
x = \frac{k - 14}{5}
\][/tex]
Therefore, the correct answer is:
[tex]\[
\boxed{A. \ x = \frac{k - 14}{5}}
\][/tex]
