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2(x-5)-3(x+1)=-3(x-1)+5(x-2)-21
We simplify the equation to the form, which is simple to understand
2(x-5)-3(x+1)=-3(x-1)+5(x-2)-21
Reorder the terms in parentheses
+(+2x-10)-3*(x+1)=-3*(x-1)+5*(x-2)-21
Remove unnecessary parentheses
+2x-10-3+*(+x+1+)=-3+*(+x-1+)+5+*(+x-2+)-21
Reorder the terms in parentheses
+2x-10+(-3x-3)=-3*(x-1)+5*(x-2)-21
Remove unnecessary parentheses
+2x-10-3x-3=-3+*(+x-1+)+5+*(+x-2+)-21
Reorder the terms in parentheses
+2x-10-3x-3=+(-3x+3)+5*(x-2)-21
Remove unnecessary parentheses
+2x-10-3x-3=-3x+3+5+*(+x-2+)-21
Reorder the terms in parentheses
+2x-10-3x-3=-3x+3+(+5x-10)-21
Remove unnecessary parentheses
+2x-10-3x-3=-3x+3+5x-10-21
We move all terms containing x to the left and all other terms to the right.
+2x-3x+3x-5x=+3-10-21+10+3
We simplify left and right side of the equation.
-3x=-15
We divide both sides of the equation by -3 to get x.
x=5
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