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x\times 12=10\times 10
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 10x, the least common multiple of 10,x.
x\times 12=100
Multiply 10 and 10 to get 100.
x=\frac{100}{12}
Divide both sides by 12.
x=\frac{25}{3}
Reduce the fraction \frac{100}{12} to lowest terms by extracting and canceling out 4.