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(2x+3)/5-(2-x)/3=x
We simplify the equation to the form, which is simple to understand
(2x+3)/5-(2-x)/3=x
Reorder the terms in parentheses
( + 0.4x + 0.6)-(2-x)/3=x
Remove unnecessary parentheses
+ 0.4x + 0.6-(2-x)/3=x
Reorder the terms in parentheses
+ 0.4x + 0.6-( + 0.666666666667-0.333333333333x)=x
Remove unnecessary parentheses
+ 0.4x + 0.6-0.666666666667 + 0.333333333333x=x
We move all terms containing x to the left and all other terms to the right.
+ 0.4x + 0.333333333333x-1x=-0.6 + 0.666666666667
We simplify left and right side of the equation.
-0.266666666667x=0.066666666667
We divide both sides of the equation by -0.266666666667 to get x.
x=-0.250000000001
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