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(x-3)/2-(5x-7)/3=1
We simplify the equation to the form, which is simple to understand
(x-3)/2-(5x-7)/3=1
Reorder the terms in parentheses
( + 0.5x-1.5)-(5x-7)/3=1
Remove unnecessary parentheses
+ 0.5x-1.5-(5x-7)/3=1
Reorder the terms in parentheses
+ 0.5x-1.5-(+1.66666666667x-2.33333333333)=1
Remove unnecessary parentheses
+ 0.5x-1.5-1.66666666667x+2.33333333333=1
We move all terms containing x to the left and all other terms to the right.
+ 0.5x-1.66666666667x=+1+1.5-2.33333333333
We simplify left and right side of the equation.
-1.16666666667x=0.16666666667
We divide both sides of the equation by -1.16666666667 to get x.
x=-0.14285714286
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