3x/(4x+5)=3/2

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Solution for 3x/(4x+5)=3/2 equation: 



3x/(4x+5)=3/2

We move all terms to the left:

3x/(4x+5)-(3/2)=0



Domain of the equation: (4x+5)!=0

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

4x!=-5

x!=-5/4

x!=-1+1/4

x∈R



We add all the numbers together, and all the variables

3x/(4x+5)-(+3/2)=0

We get rid of parentheses

3x/(4x+5)-3/2=0

We calculate fractions


6x/(8x+10)+(-12x-15)/(8x+10)=0

We multiply all the terms by the denominator


6x+(-12x-15)=0

We get rid of parentheses

6x-12x-15=0

We add all the numbers together, and all the variables

-6x-15=0

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

-6x=15

x=15/-6

x=-2+1/2

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