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4x+6x=3\times 2x
Multiply both sides of the equation by 12, the least common multiple of 3,2,4.
10x=3\times 2x
Combine 4x and 6x to get 10x.
10x=6x
Multiply 3 and 2 to get 6.
10x-6x=0
Subtract 6x from both sides.
4x=0
Combine 10x and -6x to get 4x.
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.