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x-2/x-4+x-3/x-4=2x-5
We move all terms to the left:
x-2/x-4+x-3/x-4-(2x-5)=0
Domain of the equation: x!=0We add all the numbers together, and all the variables
x∈R
2x-2/x-3/x-(2x-5)-8=0
We get rid of parentheses
2x-2/x-3/x-2x+5-8=0
We multiply all the terms by the denominator
2x*x-2x*x+5*x-8*x-2-3=0
We add all the numbers together, and all the variables
-3x+2x*x-2x*x-5=0
Wy multiply elements
2x^2-2x^2-3x-5=0
We add all the numbers together, and all the variables
-3x-5=0
We move all terms containing x to the left, all other terms to the right
-3x=5
x=5/-3
x=-1+2/3
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