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((5x-2)/3)-((4x-3)/5)=6
We move all terms to the left:
((5x-2)/3)-((4x-3)/5)-(6)=0
We calculate fractions
(25x-10)/()+(-12x+9)/()-6=0
We multiply all the terms by the denominator
(25x-10)+(-12x+9)-6*()=0
We add all the numbers together, and all the variables
(25x-10)+(-12x+9)=0
We get rid of parentheses
25x-12x-10+9=0
We add all the numbers together, and all the variables
13x-1=0
We move all terms containing x to the left, all other terms to the right
13x=1
x=1/13
x=1/13
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