(9x-5)=1/(-2x+8)

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Solution for (9x-5)=1/(-2x+8) equation: 



(9x-5)=1/(-2x+8)

We move all terms to the left:

(9x-5)-(1/(-2x+8))=0



Domain of the equation: (-2x+8))!=0

x∈R



We get rid of parentheses

9x-(1/(-2x+8))-5=0

We multiply all the terms by the denominator


9x*(-2x+8))-(1-5*(-2x+8))=0

We multiply parentheses

9x*(-2x+8))-(1+10x-=0

We add all the numbers together, and all the variables

10x+9x*(-2x+8))-(1=0

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