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3(2x-4+2x-1)/4-5(8x-2x+6)=2(x-9)-1/3
We simplify the equation to the form, which is simple to understand
3(2x-4+2x-1)/4-5(8x-2x+6)=2(x-9)-1/3
Reorder the terms in parentheses
+(-15+12x)/4-5*(+6+6x)=2*(x-9)-0.33333333333333
Reorder the terms in parentheses
+(-3.75+3x)-5*(+6+6x)=2*(x-9)-0.33333333333333
Remove unnecessary parentheses
-3.75+3x-5+*(+6+6x+)=+2+*(+x-9+)-0.33333333333333
Reorder the terms in parentheses
-3.75+3x+(-30-30x)=2*(x-9)-0.33333333333333
Remove unnecessary parentheses
-3.75+3x-30-30x=+2+*(+x-9+)-0.33333333333333
Reorder the terms in parentheses
-3.75+3x-30-30x=+(+2x-18)-0.33333333333333
Remove unnecessary parentheses
-3.75+3x-30-30x=+2x-18-0.33333333333333
We move all terms containing x to the left and all other terms to the right.
+3x-30x-2x=-18-0.33333333333333+3.75+30
We simplify left and right side of the equation.
-29x=+15.416666666667
We divide both sides of the equation by -29 to get x.
x=-0.5316091954023
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