To solve the equation [tex]\(3kx + 24 = 9kx\)[/tex] for [tex]\(x\)[/tex], follow these steps:
1. Start with the given equation:
[tex]\[
3kx + 24 = 9kx
\][/tex]
2. Subtract [tex]\(3kx\)[/tex] from both sides of the equation to isolate the terms involving [tex]\(x\)[/tex]:
[tex]\[
3kx + 24 - 3kx = 9kx - 3kx
\][/tex]
Simplifying the left and right sides, we get:
[tex]\[
24 = 6kx
\][/tex]
3. Solve for [tex]\(x\)[/tex] by isolating [tex]\(x\)[/tex]. To do this, divide both sides of the equation by [tex]\(6k\)[/tex]:
[tex]\[
x = \frac{24}{6k}
\][/tex]
4. Simplify the fraction on the right side:
[tex]\[
x = \frac{24}{6k} = \frac{24 \div 6}{k \div 6} = \frac{4}{k}
\][/tex]
Therefore, the solution to the equation [tex]\(3kx + 24 = 9kx\)[/tex] is:
[tex]\( \boxed{x = \frac{4}{k}} \)[/tex]
So the correct answer is:
B. [tex]\( x = \frac{4}{k} \)[/tex]
