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10x=5\times 4+1-13.6
Multiply both sides of the equation by 4, the least common multiple of 2,4.
10x=20+1-13.6
Multiply 5 and 4 to get 20.
10x=21-13.6
Add 20 and 1 to get 21.
10x=7.4
Subtract 13.6 from 21 to get 7.4.
x=\frac{7.4}{10}
Divide both sides by 10.
x=\frac{74}{100}
Expand \frac{7.4}{10} by multiplying both numerator and the denominator by 10.
x=\frac{37}{50}
Reduce the fraction \frac{74}{100} to lowest terms by extracting and canceling out 2.