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3x+2=x+2
Variable x cannot be equal to -2 since division by zero is not defined. Multiply both sides of the equation by x+2.
3x+2-x=2
Subtract x from both sides.
2x+2=2
Combine 3x and -x to get 2x.
2x=2-2
Subtract 2 from both sides.
2x=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 2 is not equal to 0, x must be equal to 0.