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3(x+4)-2(6-x)=5(2x+4)-3(6-2x)
We simplify the equation to the form, which is simple to understand
3(x+4)-2(6-x)=5(2x+4)-3(6-2x)
Reorder the terms in parentheses
+(+3x+12)-2*(6-x)=5*(2x+4)-3*(6-2x)
Remove unnecessary parentheses
+3x+12-2+*(+6-x+)=+5+*(+2x+4+)-3+*(+6-2x+)
Reorder the terms in parentheses
+3x+12+(-12+2x)=5*(2x+4)-3*(6-2x)
Remove unnecessary parentheses
+3x+12-12+2x=+5+*(+2x+4+)-3+*(+6-2x+)
Reorder the terms in parentheses
+3x+12-12+2x=+(+10x+20)-3*(6-2x)
Remove unnecessary parentheses
+3x+12-12+2x=+10x+20-3+*(+6-2x+)
Reorder the terms in parentheses
+3x+12-12+2x=+10x+20+(-18+6x)
Remove unnecessary parentheses
+3x+12-12+2x=+10x+20-18+6x
We move all terms containing x to the left and all other terms to the right.
+3x+2x-10x-6x=+20-18-12+12
We simplify left and right side of the equation.
-11x=+2
We divide both sides of the equation by -11 to get x.
x=-0.18181818181818
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