Answer:
[tex]x=\frac{d}{(5d-c)}[/tex]
Step-by-step explanation:
We have the following equation
[tex]\frac{d}{x} + c = 5d[/tex]
To solve the equation we must clear the variable x
Then we subtract c on both sides of the equation
[tex]\frac{d}{x} + c-c = 5d-c[/tex]
[tex]\frac{d}{x}= 5d-c[/tex]
Now multiply by x on both sides of the equation
[tex]\frac{d}{x}*x= (5d-c)*x[/tex]
[tex]d= (5d-c)*x[/tex]
Finally multiply by [tex]\frac{1}{(5d-c)}[/tex] on both sides of the equation
[tex]\frac{1}{(5d-c)}*d= \frac{1}{(5d-c)}*(5d-c)*x[/tex]
[tex]\frac{d}{(5d-c)}=x[/tex]
[tex]x=\frac{d}{(5d-c)}[/tex]