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9/2x+4=11/2x+1
We move all terms to the left:
9/2x+4-(11/2x+1)=0
Domain of the equation: 2x!=0
x!=0/2
x!=0
x∈R
Domain of the equation: 2x+1)!=0We get rid of parentheses
x∈R
9/2x-11/2x-1+4=0
We multiply all the terms by the denominator
-1*2x+4*2x+9-11=0
We add all the numbers together, and all the variables
-1*2x+4*2x-2=0
Wy multiply elements
-2x+8x-2=0
We add all the numbers together, and all the variables
6x-2=0
We move all terms containing x to the left, all other terms to the right
6x=2
x=2/6
x=1/3
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