Normally when I see a decimal in a linear equation I convert them to fractions and then find the LCD.

For instance

LCD of the above fractions = 10

However when trying to solve this particular linear equation with decimals the above manner does not seem to work.

LCD of the above fractions = 50

Combine like terms

However this is the incorrect answer. The correct solution is 22.8. Is idea of converting the decimals to fractions incorrect, or did I go wrong somewhere else?

Many Thanks