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2\times 0.4=x\times 12
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 2x, the least common multiple of x,2.
0.8=x\times 12
Multiply 2 and 0.4 to get 0.8.
x\times 12=0.8
Swap sides so that all variable terms are on the left hand side.
x=\frac{0.8}{12}
Divide both sides by 12.
x=\frac{8}{120}
Expand \frac{0.8}{12} by multiplying both numerator and the denominator by 10.
x=\frac{1}{15}
Reduce the fraction \frac{8}{120} to lowest terms by extracting and canceling out 8.