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8x=3\times 12x
Multiply both sides of the equation by 15, the least common multiple of 15,5.
8x=36x
Multiply 3 and 12 to get 36.
8x-36x=0
Subtract 36x from both sides.
-28x=0
Combine 8x and -36x to get -28x.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since -28 is not equal to 0, x must be equal to 0.