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12-4x+6x=x+12-3x
Use the distributive property to multiply 4 by 3-x.
12+2x=x+12-3x
Combine -4x and 6x to get 2x.
12+2x=-2x+12
Combine x and -3x to get -2x.
12+2x+2x=12
Add 2x to both sides.
12+4x=12
Combine 2x and 2x to get 4x.
4x=12-12
Subtract 12 from both sides.
4x=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 4 is not equal to 0, x must be equal to 0.