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4\times 8=x\times 24
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 4x, the least common multiple of x,4.
32=x\times 24
Multiply 4 and 8 to get 32.
x\times 24=32
Swap sides so that all variable terms are on the left hand side.
x=\frac{32}{24}
Divide both sides by 24.
x=\frac{4}{3}
Reduce the fraction \frac{32}{24} to lowest terms by extracting and canceling out 8.