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5\times 2304=6x
Multiply both sides of the equation by 7200, the least common multiple of 1440,1200.
11520=6x
Multiply 5 and 2304 to get 11520.
6x=11520
Swap sides so that all variable terms are on the left hand side.
x=\frac{11520}{6}
Divide both sides by 6.
x=1920
Divide 11520 by 6 to get 1920.