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2x+9/(6x+1)=2.5
We move all terms to the left:
2x+9/(6x+1)-(2.5)=0
Domain of the equation: (6x+1)!=0We add all the numbers together, and all the variables
We move all terms containing x to the left, all other terms to the right
6x!=-1
x!=-1/6
x!=-1/6
x∈R
2x+9/(6x+1)-2.5=0
We multiply all the terms by the denominator
2x*(6x+1)-(2.5)*(6x+1)+9=0
We multiply parentheses
12x^2+2x-(2.5)*(6x+1)+9=0
We move all terms containing x to the left, all other terms to the right
12x^2+2x-(2.5)*(6x+1)=-9
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