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2/3(3x-1)-3/2(2x+3x-6)=1
We simplify the equation to the form, which is simple to understand
2/3(3x-1)-3/2(2x+3x-6)=1
Reorder the terms in parentheses
+(+2x-0.66666666666667)-1.5*(-6+5x)=1
Remove unnecessary parentheses
+2x-0.66666666666667-1.5+*(-6+5x+)=+1
Reorder the terms in parentheses
+2x-0.66666666666667+(+9-7.5x)=1
Remove unnecessary parentheses
+2x-0.66666666666667+9-7.5x=+1
We move all terms containing x to the left and all other terms to the right.
+2x-7.5x=+1 + 0.66666666666667-9
We simplify left and right side of the equation.
-5.5x=-7.3333333333333
We divide both sides of the equation by -5.5 to get x.
x=1.3333333333333
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