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30=x\times 24
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 30x, the least common multiple of x,30.
x\times 24=30
Swap sides so that all variable terms are on the left hand side.
x=\frac{30}{24}
Divide both sides by 24.
x=\frac{5}{4}
Reduce the fraction \frac{30}{24} to lowest terms by extracting and canceling out 6.