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3(x-2)+7=5(x-3)+2
We simplify the equation to the form, which is simple to understand
3(x-2)+7=5(x-3)+2
Reorder the terms in parentheses
+(+3x-6)+7=5*(x-3)+2
Remove unnecessary parentheses
+3x-6+7=+5+*(+x-3+)+2
Reorder the terms in parentheses
+3x-6+7=+(+5x-15)+2
Remove unnecessary parentheses
+3x-6+7=+5x-15+2
We move all terms containing x to the left and all other terms to the right.
+3x-5x=-15+2+6-7
We simplify left and right side of the equation.
-2x=-14
We divide both sides of the equation by -2 to get x.
x=7
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