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1/6x-3=5/6x+10
We move all terms to the left:
1/6x-3-(5/6x+10)=0
Domain of the equation: 6x!=0
x!=0/6
x!=0
x∈R
Domain of the equation: 6x+10)!=0We get rid of parentheses
x∈R
1/6x-5/6x-10-3=0
We multiply all the terms by the denominator
-10*6x-3*6x+1-5=0
We add all the numbers together, and all the variables
-10*6x-3*6x-4=0
Wy multiply elements
-60x-18x-4=0
We add all the numbers together, and all the variables
-78x-4=0
We move all terms containing x to the left, all other terms to the right
-78x=4
x=4/-78
x=-2/39
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