(2x-4)/(10x+2)=3/5

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Solution for (2x-4)/(10x+2)=3/5 equation:



(2x-4)/(10x+2)=3/5
We move all terms to the left:
(2x-4)/(10x+2)-(3/5)=0
Domain of the equation: (10x+2)!=0
We move all terms containing x to the left, all other terms to the right
10x!=-2
x!=-2/10
x!=-1/5
x∈R
We add all the numbers together, and all the variables
(2x-4)/(10x+2)-(+3/5)=0
We get rid of parentheses
(2x-4)/(10x+2)-3/5=0
We calculate fractions
(10x-20)/(50x+10)+(-30x-6)/(50x+10)=0
We multiply all the terms by the denominator
(10x-20)+(-30x-6)=0
We get rid of parentheses
10x-30x-20-6=0
We add all the numbers together, and all the variables
-20x-26=0
We move all terms containing x to the left, all other terms to the right
-20x=26
x=26/-20
x=-1+3/10

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