5-2x/x-3=6/x-3

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Solution for 5-2x/x-3=6/x-3 equation:



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

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