(2x+1)/(2x+4)=9/10

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Solution for (2x+1)/(2x+4)=9/10 equation: 



(2x+1)/(2x+4)=9/10

We move all terms to the left:

(2x+1)/(2x+4)-(9/10)=0



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

(2x+1)/(2x+4)-(+9/10)=0

We get rid of parentheses

(2x+1)/(2x+4)-9/10=0

We calculate fractions


(20x+10)/(20x+40)+(-18x-36)/(20x+40)=0

We multiply all the terms by the denominator


(20x+10)+(-18x-36)=0

We get rid of parentheses

20x-18x+10-36=0

We add all the numbers together, and all the variables

2x-26=0

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

2x=26

x=26/2

x=13

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