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9(x-1)-2(x-3)=4(x-1)+16
We simplify the equation to the form, which is simple to understand
9(x-1)-2(x-3)=4(x-1)+16
Reorder the terms in parentheses
+(+9x-9)-2*(x-3)=4*(x-1)+16
Remove unnecessary parentheses
+9x-9-2+*(+x-3+)=+4+*(+x-1+)+16
Reorder the terms in parentheses
+9x-9+(-2x+6)=4*(x-1)+16
Remove unnecessary parentheses
+9x-9-2x+6=+4+*(+x-1+)+16
Reorder the terms in parentheses
+9x-9-2x+6=+(+4x-4)+16
Remove unnecessary parentheses
+9x-9-2x+6=+4x-4+16
We move all terms containing x to the left and all other terms to the right.
+9x-2x-4x=-4+16+9-6
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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