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. Isolate the term involving [tex]\(x\)[/tex]. To do this, subtract [tex]\(c\)[/tex] from both sides of the equation:
[tex]\[ 6x + c - c = k - c \][/tex]
Simplifying gives:
[tex]\[ 6x = k - c \][/tex]
3. Solve for [tex]\(x\)[/tex] by dividing both sides of the equation by 6:
[tex]\[ x = \frac{k - c}{6} \][/tex]
Thus, the solution for [tex]\(x\)[/tex] in terms of [tex]\(k\)[/tex] and [tex]\(c\)[/tex] is:
[tex]\[ x = \frac{k - c}{6} \][/tex]
Therefore, the correct answer is:
C. [tex]\( x = \frac{k - c}{6} \)[/tex]
