(4x+5)/(4-2x)=9/2

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Solution for (4x+5)/(4-2x)=9/2 equation: 



(4x+5)/(4-2x)=9/2

We move all terms to the left:

(4x+5)/(4-2x)-(9/2)=0



Domain of the equation: (4-2x)!=0

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

-2x!=-4

x!=-4/-2

x!=+2

x∈R



We add all the numbers together, and all the variables

(4x+5)/(-2x+4)-(+9/2)=0

We get rid of parentheses

(4x+5)/(-2x+4)-9/2=0

We calculate fractions


(8x+10)/(-4x+8)+(18x-36)/(-4x+8)=0

We multiply all the terms by the denominator


(8x+10)+(18x-36)=0

We get rid of parentheses

8x+18x+10-36=0

We add all the numbers together, and all the variables

26x-26=0

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

26x=26

x=26/26

x=1

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