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4/9x+2=5/9x-4
We move all terms to the left:
4/9x+2-(5/9x-4)=0
Domain of the equation: 9x!=0
x!=0/9
x!=0
x∈R
Domain of the equation: 9x-4)!=0We get rid of parentheses
x∈R
4/9x-5/9x+4+2=0
We multiply all the terms by the denominator
4*9x+2*9x+4-5=0
We add all the numbers together, and all the variables
4*9x+2*9x-1=0
Wy multiply elements
36x+18x-1=0
We add all the numbers together, and all the variables
54x-1=0
We move all terms containing x to the left, all other terms to the right
54x=1
x=1/54
x=1/54
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