To solve the equation [tex]\(5x + 14 = k\)[/tex] for [tex]\(x\)[/tex], we need to isolate [tex]\(x\)[/tex] on one side of the equation. Here are the step-by-step instructions:
1. Start with the given equation:
[tex]\[
5x + 14 = k
\][/tex]
2. Subtract 14 from both sides to isolate the term containing [tex]\(x\)[/tex]:
[tex]\[
5x = k - 14
\][/tex]
3. Divide both sides of the equation by 5 to solve for [tex]\(x\)[/tex]:
[tex]\[
x = \frac{k - 14}{5}
\][/tex]
Thus, the solution to the given equation [tex]\(5x + 14 = k\)[/tex] is:
[tex]\[
x = \frac{k - 14}{5}
\][/tex]
Therefore, the correct choice is:
A. [tex]\( x = \frac{k - 14}{5} \)[/tex]
