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3(x+2)-5(x-3)=12
We simplify the equation to the form, which is simple to understand
3(x+2)-5(x-3)=12
Reorder the terms in parentheses
+(+3x+6)-5*(x-3)=12
Remove unnecessary parentheses
+3x+6-5+*(+x-3+)=+12
Reorder the terms in parentheses
+3x+6+(-5x+15)=12
Remove unnecessary parentheses
+3x+6-5x+15=+12
We move all terms containing x to the left and all other terms to the right.
+3x-5x=+12-6-15
We simplify left and right side of the equation.
-2x=-9
We divide both sides of the equation by -2 to get x.
x=4.5
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