2(x+1)/5+1/3=7(x+4)/5

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Solution for 2(x+1)/5+1/3=7(x+4)/5 equation:



2(x+1)/5+1/3=7(x+4)/5
We move all terms to the left:
2(x+1)/5+1/3-(7(x+4)/5)=0
We calculate fractions
(6x+6)/()+(-(7(x+4)*3)/()+()/()=0
We calculate terms in parentheses: +(-(7(x+4)*3)/()+()/(), so:
-(7(x+4)*3)/()+()/(
We add all the numbers together, and all the variables
-(7(x+4)*3)/()+1
We multiply all the terms by the denominator
-(7(x+4)*3)+1*()
We calculate terms in parentheses: -(7(x+4)*3), so:
7(x+4)*3
We multiply parentheses
21x+84
Back to the equation:
-(21x+84)
We add all the numbers together, and all the variables
-(21x+84)
We get rid of parentheses
-21x-84
Back to the equation:
+(-21x-84)
We get rid of parentheses
(6x+6)/()-21x-84=0
We multiply all the terms by the denominator
(6x+6)-21x*()-84*()=0
We add all the numbers together, and all the variables
(6x+6)-21x*()=0
We get rid of parentheses
6x-21x*()+6=0
We move all terms containing x to the left, all other terms to the right
6x-21x*()=-6

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