To solve the equation [tex]\( 8x + c = k \)[/tex] for [tex]\( x \)[/tex], we need to isolate [tex]\( x \)[/tex]. Let's go through the steps together:
1. Start with the given equation:
[tex]\[
8x + c = k
\][/tex]
2. Isolate the term containing [tex]\( x \)[/tex] by subtracting [tex]\( c \)[/tex] from both sides:
[tex]\[
8x + c - c = k - c
\][/tex]
This simplifies to:
[tex]\[
8x = k - c
\][/tex]
3. Solve for [tex]\( x \)[/tex] by dividing both sides of the equation by 8:
[tex]\[
\frac{8x}{8} = \frac{k - c}{8}
\][/tex]
This simplifies to:
[tex]\[
x = \frac{k - c}{8}
\][/tex]
So, the solution to the equation [tex]\( 8x + c = k \)[/tex] for [tex]\( x \)[/tex] is:
[tex]\[
x = \frac{k - c}{8}
\][/tex]
Therefore, the correct option is:
A. [tex]\( x = \frac{k - c}{8} \)[/tex]
