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2(x-8)-6(x-3)=2(x-3)-(x-5)
We simplify the equation to the form, which is simple to understand
2(x-8)-6(x-3)=2(x-3)-(x-5)
Reorder the terms in parentheses
+(+2x-16)-6*(x-3)=2*(x-3)-(x-5)
Remove unnecessary parentheses
+2x-16-6+*(+x-3+)=+2+*(+x-3+)-(+x-5+)
Reorder the terms in parentheses
+2x-16+(-6x+18)=2*(x-3)-(x-5)
Remove unnecessary parentheses
+2x-16-6x+18=+2+*(+x-3+)-(+x-5+)
Reorder the terms in parentheses
+2x-16-6x+18=+(+2x-6)-(x-5)
Remove unnecessary parentheses
+2x-16-6x+18=+2x-6-(+x-5+)
Remove unnecessary parentheses
+2x-16-6x+18=+2x-6-1x+5
We move all terms containing x to the left and all other terms to the right.
+2x-6x-2x+1x=-6+5+16-18
We simplify left and right side of the equation.
-5x=-3
We divide both sides of the equation by -5 to get x.
x=0.6
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