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12(x+3)-4(x-1)=4(x-4)+3(x-2)
We simplify the equation to the form, which is simple to understand
12(x+3)-4(x-1)=4(x-4)+3(x-2)
Reorder the terms in parentheses
+(+12x+36)-4*(x-1)=4*(x-4)+3*(x-2)
Remove unnecessary parentheses
+12x+36-4+*(+x-1+)=+4+*(+x-4+)+3+*(+x-2+)
Reorder the terms in parentheses
+12x+36+(-4x+4)=4*(x-4)+3*(x-2)
Remove unnecessary parentheses
+12x+36-4x+4=+4+*(+x-4+)+3+*(+x-2+)
Reorder the terms in parentheses
+12x+36-4x+4=+(+4x-16)+3*(x-2)
Remove unnecessary parentheses
+12x+36-4x+4=+4x-16+3+*(+x-2+)
Reorder the terms in parentheses
+12x+36-4x+4=+4x-16+(+3x-6)
Remove unnecessary parentheses
+12x+36-4x+4=+4x-16+3x-6
We move all terms containing x to the left and all other terms to the right.
+12x-4x-4x-3x=-16-6-36-4
We simplify left and right side of the equation.
+1x=-62
We divide both sides of the equation by 1 to get x.
x=-62
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