To solve the equation [tex]\( 4x - c = k \)[/tex] for [tex]\( x \)[/tex]:
1. Isolate the term involving [tex]\( x \)[/tex]:
Start with:
[tex]\[
4x - c = k
\][/tex]
Add [tex]\( c \)[/tex] to both sides to move the constant term to the right-hand side:
[tex]\[
4x - c + c = k + c
\][/tex]
Simplify:
[tex]\[
4x = k + c
\][/tex]
2. Solve for [tex]\( x \)[/tex]:
Now, divide both sides of the equation by 4 to isolate [tex]\( x \)[/tex]:
[tex]\[
x = \frac{k + c}{4}
\][/tex]
Therefore, the solution for [tex]\( x \)[/tex] is:
[tex]\[
x = \frac{k + c}{4}
\][/tex]
So, the correct answer is:
D. [tex]\( x = \frac{k + c}{4} \)[/tex]
