Respuesta :

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]

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