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10\times 1920=9x
Multiply both sides of the equation by 10800, the least common multiple of 1080,1200.
19200=9x
Multiply 10 and 1920 to get 19200.
9x=19200
Swap sides so that all variable terms are on the left hand side.
x=\frac{19200}{9}
Divide both sides by 9.
x=\frac{6400}{3}
Reduce the fraction \frac{19200}{9} to lowest terms by extracting and canceling out 3.