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2x-3/x-5=2x-12/x-7
We move all terms to the left:
2x-3/x-5-(2x-12/x-7)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-7)!=0We get rid of parentheses
x∈R
2x-3/x-2x+12/x+7-5=0
We multiply all the terms by the denominator
2x*x-2x*x+7*x-5*x-3+12=0
We add all the numbers together, and all the variables
2x+2x*x-2x*x+9=0
Wy multiply elements
2x^2-2x^2+2x+9=0
We add all the numbers together, and all the variables
2x+9=0
We move all terms containing x to the left, all other terms to the right
2x=-9
x=-9/2
x=-4+1/2
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