To solve the equation [tex]\( 5x - c = k \)[/tex] for [tex]\( x \)[/tex], follow these steps:
1. Isolate the term with [tex]\( x \)[/tex]:
Start by adding [tex]\( c \)[/tex] to both sides of the equation to isolate the term containing [tex]\( x \)[/tex].
[tex]\[
5x - c + c = k + c
\][/tex]
Simplifying this, you get:
[tex]\[
5x = k + c
\][/tex]
2. Solve for [tex]\( x \)[/tex]:
Now, to solve for [tex]\( x \)[/tex], divide both sides of the equation by 5 to isolate [tex]\( x \)[/tex].
[tex]\[
x = \frac{k + c}{5}
\][/tex]
Therefore, the solution is:
[tex]\[
x = \frac{k + c}{5}
\][/tex]
Hence, the correct answer is [tex]\( \boxed{D} \)[/tex].
