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12\times 4x=x-3x
Multiply both sides of the equation by 36, the least common multiple of 3,36,12.
48x=x-3x
Multiply 12 and 4 to get 48.
48x=-2x
Combine x and -3x to get -2x.
48x+2x=0
Add 2x to both sides.
50x=0
Combine 48x and 2x to get 50x.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since 50 is not equal to 0, x must be equal to 0.