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2x+\frac{2}{5}x=7.2
Reduce the fraction \frac{40}{100} to lowest terms by extracting and canceling out 20.
\frac{12}{5}x=7.2
Combine 2x and \frac{2}{5}x to get \frac{12}{5}x.
x=7.2\times \frac{5}{12}
Multiply both sides by \frac{5}{12}, the reciprocal of \frac{12}{5}.
x=\frac{36}{5}\times \frac{5}{12}
Convert decimal number 7.2 to fraction \frac{72}{10}. Reduce the fraction \frac{72}{10} to lowest terms by extracting and canceling out 2.
x=\frac{36\times 5}{5\times 12}
Multiply \frac{36}{5} times \frac{5}{12} by multiplying numerator times numerator and denominator times denominator.
x=\frac{36}{12}
Cancel out 5 in both numerator and denominator.
x=3
Divide 36 by 12 to get 3.