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3(2x-1)-5(x-3)+6(3x-4)=83
We simplify the equation to the form, which is simple to understand
3(2x-1)-5(x-3)+6(3x-4)=83
Reorder the terms in parentheses
+(+6x-3)-5*(x-3)+6*(3x-4)=83
Remove unnecessary parentheses
+6x-3-5+*(+x-3+)+6+*(+3x-4+)=+83
Reorder the terms in parentheses
+6x-3+(-5x+15)+6*(3x-4)=83
Remove unnecessary parentheses
+6x-3-5x+15+6+*(+3x-4+)=+83
Reorder the terms in parentheses
+6x-3-5x+15+(+18x-24)=83
Remove unnecessary parentheses
+6x-3-5x+15+18x-24=+83
We move all terms containing x to the left and all other terms to the right.
+6x-5x+18x=+83+3-15+24
We simplify left and right side of the equation.
+19x=+95
We divide both sides of the equation by 19 to get x.
x=5
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