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5\times 0.6=12\times \frac{1}{5}\times 5x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 5x, the least common multiple of x,5.
3=12\times \frac{1}{5}\times 5x
Multiply 5 and 0.6 to get 3.
3=\frac{12}{5}\times 5x
Multiply 12 and \frac{1}{5} to get \frac{12}{5}.
3=12x
Cancel out 5 and 5.
12x=3
Swap sides so that all variable terms are on the left hand side.
x=\frac{3}{12}
Divide both sides by 12.
x=\frac{1}{4}
Reduce the fraction \frac{3}{12} to lowest terms by extracting and canceling out 3.