(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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