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\frac{12}{-4}=-6x-3
Divide both sides by -4.
-3=-6x-3
Divide 12 by -4 to get -3.
-6x-3=-3
Swap sides so that all variable terms are on the left hand side.
-6x=-3+3
Add 3 to both sides.
-6x=0
Add -3 and 3 to get 0.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since -6 is not equal to 0, x must be equal to 0.