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-5(3x-9)=2(x-2)-53
We simplify the equation to the form, which is simple to understand
-5(3x-9)=2(x-2)-53
Reorder the terms in parentheses
+(-15x+45)=2*(x-2)-53
Remove unnecessary parentheses
-15x+45=+2+*(+x-2+)-53
Reorder the terms in parentheses
-15x+45=+(+2x-4)-53
Remove unnecessary parentheses
-15x+45=+2x-4-53
We move all terms containing x to the left and all other terms to the right.
-15x-2x=-4-53-45
We simplify left and right side of the equation.
-17x=-102
We divide both sides of the equation by -17 to get x.
x=6
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