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3(x+4)-5(2x+3)=-6(x-2)+2(x-6)
We simplify the equation to the form, which is simple to understand
3(x+4)-5(2x+3)=-6(x-2)+2(x-6)
Reorder the terms in parentheses
+(+3x+12)-5*(2x+3)=-6*(x-2)+2*(x-6)
Remove unnecessary parentheses
+3x+12-5+*(+2x+3+)=-6+*(+x-2+)+2+*(+x-6+)
Reorder the terms in parentheses
+3x+12+(-10x-15)=-6*(x-2)+2*(x-6)
Remove unnecessary parentheses
+3x+12-10x-15=-6+*(+x-2+)+2+*(+x-6+)
Reorder the terms in parentheses
+3x+12-10x-15=+(-6x+12)+2*(x-6)
Remove unnecessary parentheses
+3x+12-10x-15=-6x+12+2+*(+x-6+)
Reorder the terms in parentheses
+3x+12-10x-15=-6x+12+(+2x-12)
Remove unnecessary parentheses
+3x+12-10x-15=-6x+12+2x-12
We move all terms containing x to the left and all other terms to the right.
+3x-10x+6x-2x=+12-12-12+15
We simplify left and right side of the equation.
-3x=+3
We divide both sides of the equation by -3 to get x.
x=-1
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