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x/(x-3)+3=5x/(3-x)
We simplify the equation to the form, which is simple to understand
x/(x-3)+3=5x/(3-x)
Reorder the terms in parentheses
+(+1-0.333333333333x)+3=5x/(3-x)
Remove unnecessary parentheses
+1-0.333333333333x+3=+5x+/(+3-x+)
Reorder the terms in parentheses
+1-0.333333333333x+3=+(+1.66666666667x-5)
Remove unnecessary parentheses
+1-0.333333333333x+3=+1.66666666667x-5
We move all terms containing x to the left and all other terms to the right.
-0.333333333333x-1.66666666667x=-5-1-3
We simplify left and right side of the equation.
-2x=-9
We divide both sides of the equation by -2 to get x.
x=4.49999999999
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