(3-2x)/(2x+5)=3/11

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Solution for (3-2x)/(2x+5)=3/11 equation: 



(3-2x)/(2x+5)=3/11

We move all terms to the left:

(3-2x)/(2x+5)-(3/11)=0



Domain of the equation: (2x+5)!=0

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

2x!=-5

x!=-5/2

x!=-2+1/2

x∈R



We add all the numbers together, and all the variables

(-2x+3)/(2x+5)-(+3/11)=0

We get rid of parentheses

(-2x+3)/(2x+5)-3/11=0

We calculate fractions


(-22x+33)/(22x+55)+(-6x-15)/(22x+55)=0

We multiply all the terms by the denominator


(-22x+33)+(-6x-15)=0

We get rid of parentheses

-22x-6x+33-15=0

We add all the numbers together, and all the variables

-28x+18=0

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

-28x=-18

x=-18/-28

x=9/14

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