We are given the following equation
[tex]\frac{4k-10}{k}=8[/tex]
Let us solve this equation for k
Step 1:
Multiply both sides of the equation by k
[tex]\begin{gathered} k\cdot\frac{(4k-10)}{k}=8\cdot k \\ 4k-10=8k \end{gathered}[/tex]
Step 2:
Subtract 8k from both sides of the equation
[tex]\begin{gathered} 4k-8k-10=8k-8k \\ -4k-10=0 \end{gathered}[/tex]
Step 3:
Add 10 to both sides of the equation
[tex]\begin{gathered} -4k-10+10=10 \\ -4k=10 \end{gathered}[/tex]
Step 4:
Finally, divide both sides of the equation by -4
[tex]\begin{gathered} \frac{-4k}{-4}=\frac{10}{-4} \\ k=-\frac{10}{4} \\ k=-\frac{5}{2} \end{gathered}[/tex]
Therefore, the value of k is equal to -5/2
