7/x+3/6x-4=2/6x-4

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Solution for 7/x+3/6x-4=2/6x-4 equation:



7/x+3/6x-4=2/6x-4
We move all terms to the left:
7/x+3/6x-4-(2/6x-4)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: 6x!=0
x!=0/6
x!=0
x∈R
Domain of the equation: 6x-4)!=0
x∈R
We get rid of parentheses
7/x+3/6x-2/6x+4-4=0
We calculate fractions
42x/6x^2+(-2x+3)/6x^2+4-4=0
We add all the numbers together, and all the variables
42x/6x^2+(-2x+3)/6x^2=0
We multiply all the terms by the denominator
42x+(-2x+3)=0
We get rid of parentheses
42x-2x+3=0
We add all the numbers together, and all the variables
40x+3=0
We move all terms containing x to the left, all other terms to the right
40x=-3
x=-3/40
x=-3/40

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