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2(x-3)-3(x+5)=3(x-2)-7
We simplify the equation to the form, which is simple to understand
2(x-3)-3(x+5)=3(x-2)-7
Reorder the terms in parentheses
+(+2x-6)-3*(x+5)=3*(x-2)-7
Remove unnecessary parentheses
+2x-6-3+*(+x+5+)=+3+*(+x-2+)-7
Reorder the terms in parentheses
+2x-6+(-3x-15)=3*(x-2)-7
Remove unnecessary parentheses
+2x-6-3x-15=+3+*(+x-2+)-7
Reorder the terms in parentheses
+2x-6-3x-15=+(+3x-6)-7
Remove unnecessary parentheses
+2x-6-3x-15=+3x-6-7
We move all terms containing x to the left and all other terms to the right.
+2x-3x-3x=-6-7+6+15
We simplify left and right side of the equation.
-4x=+8
We divide both sides of the equation by -4 to get x.
x=-2
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