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-5/6(x)+13=1/6(x)+17
We move all terms to the left:
-5/6(x)+13-(1/6(x)+17)=0
Domain of the equation: 6x!=0
x!=0/6
x!=0
x∈R
Domain of the equation: 6x+17)!=0We get rid of parentheses
x∈R
-5/6x-1/6x-17+13=0
We multiply all the terms by the denominator
-17*6x+13*6x-5-1=0
We add all the numbers together, and all the variables
-17*6x+13*6x-6=0
Wy multiply elements
-102x+78x-6=0
We add all the numbers together, and all the variables
-24x-6=0
We move all terms containing x to the left, all other terms to the right
-24x=6
x=6/-24
x=-1/4
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