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6/7x-5=3/7x-2
We move all terms to the left:
6/7x-5-(3/7x-2)=0
Domain of the equation: 7x!=0
x!=0/7
x!=0
x∈R
Domain of the equation: 7x-2)!=0We get rid of parentheses
x∈R
6/7x-3/7x+2-5=0
We multiply all the terms by the denominator
2*7x-5*7x+6-3=0
We add all the numbers together, and all the variables
2*7x-5*7x+3=0
Wy multiply elements
14x-35x+3=0
We add all the numbers together, and all the variables
-21x+3=0
We move all terms containing x to the left, all other terms to the right
-21x=-3
x=-3/-21
x=1/7
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