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3(x-2)=(4x-9)/6
We simplify the equation to the form, which is simple to understand
3(x-2)=(4x-9)/6
Reorder the terms in parentheses
+(+3x-6)=(4x-9)/6
Remove unnecessary parentheses
+3x-6=+(+4x-9+)+/6
Reorder the terms in parentheses
+3x-6=( + 0.666666666667x-1.5)
Remove unnecessary parentheses
+3x-6=0.666666666667x-1.5
We move all terms containing x to the left and all other terms to the right.
+3x-0.666666666667x=-1.5+6
We simplify left and right side of the equation.
+2.33333333333x=+4.5
We divide both sides of the equation by 2.33333333333 to get x.
x=1.92857142857
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