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2(x-2)-(3x-8)=3(5x-1)-9
We simplify the equation to the form, which is simple to understand
2(x-2)-(3x-8)=3(5x-1)-9
Reorder the terms in parentheses
+(+2x-4)-(3x-8)=3*(5x-1)-9
Remove unnecessary parentheses
+2x-4-(+3x-8+)=+3+*(+5x-1+)-9
Remove unnecessary parentheses
+2x-4-3x+8=3*(5x-1)-9
Reorder the terms in parentheses
+2x-4-3x+8=+(+15x-3)-9
Remove unnecessary parentheses
+2x-4-3x+8=+15x-3-9
We move all terms containing x to the left and all other terms to the right.
+2x-3x-15x=-3-9+4-8
We simplify left and right side of the equation.
-16x=-16
We divide both sides of the equation by -16 to get x.
x=1
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