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3\times 2x-4\times 2x=12
Multiply both sides of the equation by 12, the least common multiple of 4,-3.
6x-4\times 2x=12
Multiply 3 and 2 to get 6.
6x-8x=12
Multiply -4 and 2 to get -8.
-2x=12
Combine 6x and -8x to get -2x.
x=\frac{12}{-2}
Divide both sides by -2.
x=-6
Divide 12 by -2 to get -6.