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2x+x+12=12
Multiply both sides of the equation by 4, the least common multiple of 2,4.
3x+12=12
Combine 2x and x to get 3x.
3x=12-12
Subtract 12 from both sides.
3x=0
Subtract 12 from 12 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.