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4x=3\times 0.6
Multiply both sides of the equation by 12, the least common multiple of 3,4.
4x=1.8
Multiply 3 and 0.6 to get 1.8.
x=\frac{1.8}{4}
Divide both sides by 4.
x=\frac{18}{40}
Expand \frac{1.8}{4} by multiplying both numerator and the denominator by 10.
x=\frac{9}{20}
Reduce the fraction \frac{18}{40} to lowest terms by extracting and canceling out 2.