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(2x+5)/(2)-(3x)/(x-2)=x
We simplify the equation to the form, which is simple to understand
(2x+5)/(2)-(3x)/(x-2)=x
Reorder the terms in parentheses
dividing of parentheses
(+1x+2.5)-(3x)/(x-2)=x
Remove unnecessary parentheses
+1x+2.5-(3x)/(x-2)=x
Reorder the terms in parentheses
dividing of parentheses
+1x+2.5-(+3-1.5x)=x
Remove unnecessary parentheses
+1x+2.5-3+1.5x=x
We move all terms containing x to the left and all other terms to the right.
+1x+1.5x-1x=-2.5+3
We simplify left and right side of the equation.
+1.5x=0.5
We divide both sides of the equation by 1.5 to get x.
x=0.333333333333
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