(x+5)/(3x-6)=3/8

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Solution for (x+5)/(3x-6)=3/8 equation: 



(x+5)/(3x-6)=3/8

We move all terms to the left:

(x+5)/(3x-6)-(3/8)=0



Domain of the equation: (3x-6)!=0

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

3x!=6

x!=6/3

x!=2

x∈R



We add all the numbers together, and all the variables

(x+5)/(3x-6)-(+3/8)=0

We get rid of parentheses

(x+5)/(3x-6)-3/8=0

We calculate fractions


(8x+40)/(24x-48)+(-9x+18)/(24x-48)=0

We multiply all the terms by the denominator


(8x+40)+(-9x+18)=0

We get rid of parentheses

8x-9x+40+18=0

We add all the numbers together, and all the variables

-1x+58=0

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

-x=-58

x=-58/-1

x=+58

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