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3x+2=2
Swap sides so that all variable terms are on the left hand side.
3x=2-2
Subtract 2 from both sides.
3x=0
Subtract 2 from 2 to get 0.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since 3 is not equal to 0, x must be equal to 0.