To solve the equation [tex]\( 3kx + 24 = 9kx \)[/tex] for [tex]\( x \)[/tex], let's go through the steps one by one.
1. Start with the given equation:
[tex]\[
3kx + 24 = 9kx
\][/tex]
2. Move all terms involving [tex]\( x \)[/tex] to one side of the equation:
Subtract [tex]\( 3kx \)[/tex] from both sides:
[tex]\[
24 = 9kx - 3kx
\][/tex]
3. Combine like terms on the right side of the equation:
[tex]\[
24 = 6kx
\][/tex]
4. Solve for [tex]\( x \)[/tex]:
Divide both sides of the equation by [tex]\( 6k \)[/tex]:
[tex]\[
x = \frac{24}{6k}
\][/tex]
5. Simplify the fraction:
[tex]\[
x = \frac{24}{6k} = \frac{4}{k}
\][/tex]
So, the solution is [tex]\( x = \frac{4}{k} \)[/tex].
Answer: C. [tex]\( x = \frac{4}{k} \)[/tex]
