28/(x+8)=6/(9-x)

Solution for 28/(x+8)=6/(9-x) equation:

28/(x+8)=6/(9-x)

We move all terms to the left:

28/(x+8)-(6/(9-x))=0


Domain of the equation: (x+8)!=0

We move all terms containing x to the left, all other terms to the right

x!=-8

x∈R



Domain of the equation: (9-x))!=0

We move all terms containing x to the left, all other terms to the right

-x)!=-9

x!=-9/1

x!=-9

x∈R


We add all the numbers together, and all the variables

28/(x+8)-(6/(-1x+9))=0

We calculate fractions


(-28x)/((x+8)*(-1x+9)))+(-(6*(x+8))/((x+8)*(-1x+9)))=0


We calculate terms in parentheses: -(6*(x+8))/((x+8)*(-1x+9))), so:

6*(x+8))/((x+8)*(-1x+9))

We multiply all the terms by the denominator


6*(x+8))

We multiply parentheses

6x+

We add all the numbers together, and all the variables

6x

Back to the equation:

-(6x)


We add all the numbers together, and all the variables

-6x+(-28x)/((x+8)*(-1x+9)))+(=0

We multiply all the terms by the denominator


-6x*((x+8)*(-1x+9)))+(+(-28x)=0

We get rid of parentheses

-6x*((x+8)*(-1x+9)))+(-28x=0

We add all the numbers together, and all the variables

-28x-6x*((x+8)*(-1x+9)))+(=0