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3\times 240-2\times 240=24x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 6x, the least common multiple of 2x,3x.
720-480=24x
Do the multiplications.
240=24x
Subtract 480 from 720 to get 240.
24x=240
Swap sides so that all variable terms are on the left hand side.
x=\frac{240}{24}
Divide both sides by 24.
x=10
Divide 240 by 24 to get 10.