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4(x-3)-3(3-x)=5(x+2)-9(8-x)+20
We simplify the equation to the form, which is simple to understand
4(x-3)-3(3-x)=5(x+2)-9(8-x)+20
Reorder the terms in parentheses
+(+4x-12)-3*(3-x)=5*(x+2)-9*(8-x)+20
Remove unnecessary parentheses
+4x-12-3+*(+3-x+)=+5+*(+x+2+)-9+*(+8-x+)+20
Reorder the terms in parentheses
+4x-12+(-9+3x)=5*(x+2)-9*(8-x)+20
Remove unnecessary parentheses
+4x-12-9+3x=+5+*(+x+2+)-9+*(+8-x+)+20
Reorder the terms in parentheses
+4x-12-9+3x=+(+5x+10)-9*(8-x)+20
Remove unnecessary parentheses
+4x-12-9+3x=+5x+10-9+*(+8-x+)+20
Reorder the terms in parentheses
+4x-12-9+3x=+5x+10+(-72+9x)+20
Remove unnecessary parentheses
+4x-12-9+3x=+5x+10-72+9x+20
We move all terms containing x to the left and all other terms to the right.
+4x+3x-5x-9x=+10-72+20+12+9
We simplify left and right side of the equation.
-7x=-21
We divide both sides of the equation by -7 to get x.
x=3
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