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5x-2=\frac{6}{-3}
Divide both sides by -3.
5x-2=-2
Divide 6 by -3 to get -2.
5x=-2+2
Add 2 to both sides.
5x=0
Add -2 and 2 to get 0.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since 5 is not equal to 0, x must be equal to 0.