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