Let's solve the equation [tex]\(4kx + 10kx = 7\)[/tex] for [tex]\(x\)[/tex].
1. Combine like terms:
[tex]\[
4kx + 10kx = (4k + 10k)x = 14kx
\][/tex]
So, the equation simplifies to:
[tex]\[
14kx = 7
\][/tex]
2. Isolate [tex]\(x\)[/tex]:
To isolate [tex]\(x\)[/tex], divide both sides of the equation by [tex]\(14k\)[/tex]:
[tex]\[
x = \frac{7}{14k}
\][/tex]
3. Simplify the fraction:
Simplify [tex]\(\frac{7}{14k}\)[/tex]:
[tex]\[
x = \frac{7}{14k} = \frac{1}{2k}
\][/tex]
So, the solution to the equation [tex]\(4kx + 10kx = 7\)[/tex] is:
[tex]\[
x = \frac{1}{2k}
\][/tex]
Therefore, the correct answer is:
C. [tex]\(x = \frac{1}{2k}\)[/tex]
