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Solve [tex]$4kx + 10kx = 7$[/tex] for [tex]$x$[/tex]

A. [tex]$x = \frac{2}{k}$[/tex]
B. [tex]$x = \frac{k}{2}$[/tex]
C. [tex]$x = \frac{1}{2k}$[/tex]
D. [tex]$x = 2k$[/tex]

Sagot :

GinnyAnswer
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]
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