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4(x-5)-(4x-3)=5(4x-4)-17
We simplify the equation to the form, which is simple to understand
4(x-5)-(4x-3)=5(4x-4)-17
Reorder the terms in parentheses
+(+4x-20)-(4x-3)=5*(4x-4)-17
Remove unnecessary parentheses
+4x-20-(+4x-3+)=+5+*(+4x-4+)-17
Remove unnecessary parentheses
+4x-20-4x+3=5*(4x-4)-17
Reorder the terms in parentheses
+4x-20-4x+3=+(+20x-20)-17
Remove unnecessary parentheses
+4x-20-4x+3=+20x-20-17
We move all terms containing x to the left and all other terms to the right.
+4x-4x-20x=-20-17+20-3
We simplify left and right side of the equation.
-20x=-20
We divide both sides of the equation by -20 to get x.
x=1
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