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3(x+10)-2(x+3)=3(x-4)+2(x-4)
We simplify the equation to the form, which is simple to understand
3(x+10)-2(x+3)=3(x-4)+2(x-4)
Reorder the terms in parentheses
+(+3x+30)-2*(x+3)=3*(x-4)+2*(x-4)
Remove unnecessary parentheses
+3x+30-2+*(+x+3+)=+3+*(+x-4+)+2+*(+x-4+)
Reorder the terms in parentheses
+3x+30+(-2x-6)=3*(x-4)+2*(x-4)
Remove unnecessary parentheses
+3x+30-2x-6=+3+*(+x-4+)+2+*(+x-4+)
Reorder the terms in parentheses
+3x+30-2x-6=+(+3x-12)+2*(x-4)
Remove unnecessary parentheses
+3x+30-2x-6=+3x-12+2+*(+x-4+)
Reorder the terms in parentheses
+3x+30-2x-6=+3x-12+(+2x-8)
Remove unnecessary parentheses
+3x+30-2x-6=+3x-12+2x-8
We move all terms containing x to the left and all other terms to the right.
+3x-2x-3x-2x=-12-8-30+6
We simplify left and right side of the equation.
-4x=-44
We divide both sides of the equation by -4 to get x.
x=11
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