To solve the equation [tex]\( 6x + c = k \)[/tex] for [tex]\( x \)[/tex], follow these steps:
1. Start with the given equation:
[tex]\[
6x + c = k
\][/tex]
2. To isolate the term containing [tex]\( x \)[/tex], subtract [tex]\( c \)[/tex] from both sides of the equation. This gives:
[tex]\[
6x = k - c
\][/tex]
3. Now, solve for [tex]\( x \)[/tex] by dividing both sides of the equation by 6:
[tex]\[
x = \frac{k - c}{6}
\][/tex]
Thus, the solution to the equation [tex]\( 6x + c = k \)[/tex] for [tex]\( x \)[/tex] is:
[tex]\[
x = \frac{k - c}{6}
\][/tex]
Therefore, the correct choice is:
A. [tex]\( x = \frac{k - c}{6} \)[/tex]