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