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5/9x+7=8/9x-3
We move all terms to the left:
5/9x+7-(8/9x-3)=0
Domain of the equation: 9x!=0
x!=0/9
x!=0
x∈R
Domain of the equation: 9x-3)!=0We get rid of parentheses
x∈R
5/9x-8/9x+3+7=0
We multiply all the terms by the denominator
3*9x+7*9x+5-8=0
We add all the numbers together, and all the variables
3*9x+7*9x-3=0
Wy multiply elements
27x+63x-3=0
We add all the numbers together, and all the variables
90x-3=0
We move all terms containing x to the left, all other terms to the right
90x=3
x=3/90
x=1/30
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