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5x+\frac{48}{40}=2.3
Expand \frac{4.8}{4} by multiplying both numerator and the denominator by 10.
5x+\frac{6}{5}=2.3
Reduce the fraction \frac{48}{40} to lowest terms by extracting and canceling out 8.
5x=2.3-\frac{6}{5}
Subtract \frac{6}{5} from both sides.
5x=\frac{23}{10}-\frac{6}{5}
Convert decimal number 2.3 to fraction \frac{23}{10}.
5x=\frac{23}{10}-\frac{12}{10}
Least common multiple of 10 and 5 is 10. Convert \frac{23}{10} and \frac{6}{5} to fractions with denominator 10.
5x=\frac{23-12}{10}
Since \frac{23}{10} and \frac{12}{10} have the same denominator, subtract them by subtracting their numerators.
5x=\frac{11}{10}
Subtract 12 from 23 to get 11.
x=\frac{\frac{11}{10}}{5}
Divide both sides by 5.
x=\frac{11}{10\times 5}
Express \frac{\frac{11}{10}}{5} as a single fraction.
x=\frac{11}{50}
Multiply 10 and 5 to get 50.