To solve the equation [tex]\( 8x + c = k \)[/tex] for [tex]\( x \)[/tex], follow these steps:
1. Isolate the term with [tex]\( x \)[/tex]:
[tex]\[ 8x + c = k \][/tex]
Subtract [tex]\( c \)[/tex] from both sides of the equation to isolate the term with [tex]\( x \)[/tex]:
[tex]\[ 8x + c - c = k - c \][/tex]
This simplifies to:
[tex]\[ 8x = k - c \][/tex]
2. Solve for [tex]\( x \)[/tex]:
Now, to isolate [tex]\( x \)[/tex], divide both sides of the equation by [tex]\( 8 \)[/tex]:
[tex]\[ \frac{8x}{8} = \frac{k - c}{8} \][/tex]
This simplifies to:
[tex]\[ x = \frac{k - c}{8} \][/tex]
Therefore, the correct option is [tex]\( \boxed{B} \)[/tex].
