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5/9x+12=7/9x-6
We move all terms to the left:
5/9x+12-(7/9x-6)=0
Domain of the equation: 9x!=0
x!=0/9
x!=0
x∈R
Domain of the equation: 9x-6)!=0We get rid of parentheses
x∈R
5/9x-7/9x+6+12=0
We multiply all the terms by the denominator
6*9x+12*9x+5-7=0
We add all the numbers together, and all the variables
6*9x+12*9x-2=0
Wy multiply elements
54x+108x-2=0
We add all the numbers together, and all the variables
162x-2=0
We move all terms containing x to the left, all other terms to the right
162x=2
x=2/162
x=1/81
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