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5(x-3)-7x=4(x-3)+9
We simplify the equation to the form, which is simple to understand
5(x-3)-7x=4(x-3)+9
Reorder the terms in parentheses
+(+5x-15)-7x=4*(x-3)+9
Remove unnecessary parentheses
+5x-15-7x=+4+*(+x-3+)+9
Reorder the terms in parentheses
+5x-15-7x=+(+4x-12)+9
Remove unnecessary parentheses
+5x-15-7x=+4x-12+9
We move all terms containing x to the left and all other terms to the right.
+5x-7x-4x=-12+9+15
We simplify left and right side of the equation.
-6x=+12
We divide both sides of the equation by -6 to get x.
x=-2
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