x/(2x-9)=2

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Solution for x/(2x-9)=2 equation:



x/(2x-9)=2
We move all terms to the left:
x/(2x-9)-(2)=0
Domain of the equation: (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
x∈R
We multiply all the terms by the denominator
x-2*(2x-9)=0
We multiply parentheses
x-4x+18=0
We add all the numbers together, and all the variables
-3x+18=0
We move all terms containing x to the left, all other terms to the right
-3x=-18
x=-18/-3
x=+6

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