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12\times 7.5=x\times 24
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 12x, the least common multiple of x,12.
90=x\times 24
Multiply 12 and 7.5 to get 90.
x\times 24=90
Swap sides so that all variable terms are on the left hand side.
x=\frac{90}{24}
Divide both sides by 24.
x=\frac{15}{4}
Reduce the fraction \frac{90}{24} to lowest terms by extracting and canceling out 6.