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3x+5/9=4x+4/9
We move all terms to the left:
3x+5/9-(4x+4/9)=0
We add all the numbers together, and all the variables
3x-(+4x+4/9)+5/9=0
We get rid of parentheses
3x-4x-4/9+5/9=0
We multiply all the terms by the denominator
3x*9-4x*9-4+5=0
We add all the numbers together, and all the variables
3x*9-4x*9+1=0
Wy multiply elements
27x-36x+1=0
We add all the numbers together, and all the variables
-9x+1=0
We move all terms containing x to the left, all other terms to the right
-9x=-1
x=-1/-9
x=1/9
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