9/(5-x)=2x+1

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Solution for 9/(5-x)=2x+1 equation: 



9/(5-x)=2x+1

We move all terms to the left:

9/(5-x)-(2x+1)=0



Domain of the equation: (5-x)!=0

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

-x!=-5

x!=-5/-1

x!=+5

x∈R



We add all the numbers together, and all the variables

9/(-1x+5)-(2x+1)=0

We get rid of parentheses

9/(-1x+5)-2x-1=0

We multiply all the terms by the denominator


-2x*(-1x+5)-1*(-1x+5)+9=0

We multiply parentheses

2x^2-10x-1*(-1x+5)+9=0

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

2x^2-10x-1*(-1x+5)=-9

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