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0.6x=0.6-0.4
Subtract 0.4 from both sides.
0.6x=0.2
Subtract 0.4 from 0.6 to get 0.2.
x=\frac{0.2}{0.6}
Divide both sides by 0.6.
x=\frac{2}{6}
Expand \frac{0.2}{0.6} by multiplying both numerator and the denominator by 10.
x=\frac{1}{3}
Reduce the fraction \frac{2}{6} to lowest terms by extracting and canceling out 2.