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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=0.666666666667-0.6
We simplify left and right side of the equation.
+1.73333333333x=0.0666666666667
We divide both sides of the equation by 1.73333333333 to get x.
x=0.0384615384615
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