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4\times 2x-2x=-9
Multiply both sides of the equation by 12, the least common multiple of 3,6,4.
8x-2x=-9
Multiply 4 and 2 to get 8.
6x=-9
Combine 8x and -2x to get 6x.
x=\frac{-9}{6}
Divide both sides by 6.
x=-\frac{3}{2}
Reduce the fraction \frac{-9}{6} to lowest terms by extracting and canceling out 3.