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6(x-3)=4(x+3)-32
We simplify the equation to the form, which is simple to understand
6(x-3)=4(x+3)-32
Reorder the terms in parentheses
+(+6x-18)=4*(x+3)-32
Remove unnecessary parentheses
+6x-18=+4+*(+x+3+)-32
Reorder the terms in parentheses
+6x-18=+(+4x+12)-32
Remove unnecessary parentheses
+6x-18=+4x+12-32
We move all terms containing x to the left and all other terms to the right.
+6x-4x=+12-32+18
We simplify left and right side of the equation.
+2x=-2
We divide both sides of the equation by 2 to get x.
x=-1
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