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2/9x+38=8/9x-16
We move all terms to the left:
2/9x+38-(8/9x-16)=0
Domain of the equation: 9x!=0
x!=0/9
x!=0
x∈R
Domain of the equation: 9x-16)!=0We get rid of parentheses
x∈R
2/9x-8/9x+16+38=0
We multiply all the terms by the denominator
16*9x+38*9x+2-8=0
We add all the numbers together, and all the variables
16*9x+38*9x-6=0
Wy multiply elements
144x+342x-6=0
We add all the numbers together, and all the variables
486x-6=0
We move all terms containing x to the left, all other terms to the right
486x=6
x=6/486
x=1/81
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