2/3(w+4)-2=5/6(2+w)

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Solution for 2/3(w+4)-2=5/6(2+w) equation:



2/3(w+4)-2=5/6(2+w)
We move all terms to the left:
2/3(w+4)-2-(5/6(2+w))=0
Domain of the equation: 3(w+4)!=0
w∈R
Domain of the equation: 6(2+w))!=0
w∈R
We add all the numbers together, and all the variables
2/3(w+4)-(5/6(w+2))-2=0
We calculate fractions
(12ww/(3(w+4)*6(w+2)))+(-15ww/(3(w+4)*6(w+2)))-2=0
We calculate terms in parentheses: +(12ww/(3(w+4)*6(w+2))), so:
12ww/(3(w+4)*6(w+2))
We multiply all the terms by the denominator
12ww
Back to the equation:
+(12ww)
We calculate terms in parentheses: +(-15ww/(3(w+4)*6(w+2))), so:
-15ww/(3(w+4)*6(w+2))
We multiply all the terms by the denominator
-15ww
Back to the equation:
+(-15ww)
We get rid of parentheses
12ww-15ww-2=0
We move all terms containing w to the left, all other terms to the right
12ww-15ww=2

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