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6(x-3)+10(x-2)=5(x-1)
We simplify the equation to the form, which is simple to understand
6(x-3)+10(x-2)=5(x-1)
Reorder the terms in parentheses
+(+6x-18)+10*(x-2)=5*(x-1)
Remove unnecessary parentheses
+6x-18+10+*(+x-2+)=+5+*(+x-1+)
Reorder the terms in parentheses
+6x-18+(+10x-20)=5*(x-1)
Remove unnecessary parentheses
+6x-18+10x-20=+5+*(+x-1+)
Reorder the terms in parentheses
+6x-18+10x-20=+(+5x-5)
Remove unnecessary parentheses
+6x-18+10x-20=+5x-5
We move all terms containing x to the left and all other terms to the right.
+6x+10x-5x=-5+18+20
We simplify left and right side of the equation.
+11x=+33
We divide both sides of the equation by 11 to get x.
x=3
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