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24\times 10=5x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 24x, the least common multiple of x,24.
240=5x
Multiply 24 and 10 to get 240.
5x=240
Swap sides so that all variable terms are on the left hand side.
x=\frac{240}{5}
Divide both sides by 5.
x=48
Divide 240 by 5 to get 48.