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(3x+2)/4+(2x)/6=(6x-9)/4
We simplify the equation to the form, which is simple to understand
(3x+2)/4+(2x)/6=(6x-9)/4
Reorder the terms in parentheses
( + 0.75x + 0.5)+(2x)/6=(6x-9)/4
Remove unnecessary parentheses
+ 0.75x + 0.5+(2x)/6=(6x-9)/4
Reorder the terms in parentheses
+ 0.75x + 0.5+( + 0.33333333333333x)=(6x-9)/4
Remove unnecessary parentheses
+ 0.75x + 0.5 + 0.33333333333333x=+(+6x-9+)+/4
Reorder the terms in parentheses
+ 0.75x + 0.5 + 0.33333333333333x=(+1.5x-2.25)
Remove unnecessary parentheses
+ 0.75x + 0.5 + 0.33333333333333x=+1.5x-2.25
We move all terms containing x to the left and all other terms to the right.
+ 0.75x + 0.33333333333333x-1.5x=-2.25-0.5
We simplify left and right side of the equation.
-0.41666666666667x=-2.75
We divide both sides of the equation by -0.41666666666667 to get x.
x=6.6
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