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