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5(x-2)-6(x-1)=3(2x-4)
We simplify the equation to the form, which is simple to understand
5(x-2)-6(x-1)=3(2x-4)
Reorder the terms in parentheses
+(+5x-10)-6*(x-1)=3*(2x-4)
Remove unnecessary parentheses
+5x-10-6+*(+x-1+)=+3+*(+2x-4+)
Reorder the terms in parentheses
+5x-10+(-6x+6)=3*(2x-4)
Remove unnecessary parentheses
+5x-10-6x+6=+3+*(+2x-4+)
Reorder the terms in parentheses
+5x-10-6x+6=+(+6x-12)
Remove unnecessary parentheses
+5x-10-6x+6=+6x-12
We move all terms containing x to the left and all other terms to the right.
+5x-6x-6x=-12+10-6
We simplify left and right side of the equation.
-7x=-8
We divide both sides of the equation by -7 to get x.
x=1.1428571428571
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