(2x-4)/(6x-8)=2/5

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Solution for (2x-4)/(6x-8)=2/5 equation:



(2x-4)/(6x-8)=2/5
We move all terms to the left:
(2x-4)/(6x-8)-(2/5)=0
Domain of the equation: (6x-8)!=0
We move all terms containing x to the left, all other terms to the right
6x!=8
x!=8/6
x!=1+1/3
x∈R
We add all the numbers together, and all the variables
(2x-4)/(6x-8)-(+2/5)=0
We get rid of parentheses
(2x-4)/(6x-8)-2/5=0
We calculate fractions
(10x-20)/(30x-40)+(-12x+16)/(30x-40)=0
We multiply all the terms by the denominator
(10x-20)+(-12x+16)=0
We get rid of parentheses
10x-12x-20+16=0
We add all the numbers together, and all the variables
-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

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