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((3x+2)/7)-((x+4)/5)=2
We move all terms to the left:
((3x+2)/7)-((x+4)/5)-(2)=0
We calculate fractions
(15x+10)/()+(-7x-28)/()-2=0
We multiply all the terms by the denominator
(15x+10)+(-7x-28)-2*()=0
We add all the numbers together, and all the variables
(15x+10)+(-7x-28)=0
We get rid of parentheses
15x-7x+10-28=0
We add all the numbers together, and all the variables
8x-18=0
We move all terms containing x to the left, all other terms to the right
8x=18
x=18/8
x=2+1/4
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