How to solve 24 -4 /5 +4/ 5 +x/4+4/5=5/8

Welcome to my article How to solve 24 -4 /5 +4/ 5 +x/4+4/5=5/8. This question is taken from the simplification lesson.
The solution of this question has been explained in a very simple way by a well-known teacher by doing addition, subtraction, and fractions.
For complete information on how to solve this question How to solve 24 -4 /5 +4/ 5 +x/4+4/5=5/8, read and understand it carefully till the end.

Let us know how to solve this question How to solve 24 -4 /5 +4/ 5 +x/4+4/5=5/8.

First write the question on the page of the notebook.

How to solve 24 -4 /5 +4/ 5 +x/4+4/5=5/8

To solve this question, we will write this question in the simplest form as follows and simplify it.

\displaystyle \mathbf{24}-\frac{4}{5}+\frac{4}{5}+\frac{x}{4}+\frac{4}{5}=\frac{5}{8}

\displaystyle \mathbf{24}-\cancel{{\frac{4}{5}}}+\cancel{{\frac{4}{5}}}+\frac{x}{4}+\frac{4}{5}=\frac{5}{8}

\displaystyle \frac{x}{4}+\mathbf{24}+\frac{4}{5}=\frac{5}{8}

\displaystyle \frac{x}{4}+\frac{{96}}{5}=\frac{5}{8}

\displaystyle \frac{x}{4}=\frac{{5\times 5}}{{8\times 5}}-\frac{{96\times 8}}{{5\times 8}}

\displaystyle \frac{x}{4}=\frac{{25}}{{40}}-\frac{{768}}{{40}}

\displaystyle \frac{x}{4}=\frac{{25-768}}{{40}}

\displaystyle \frac{x}{4}=\frac{{743}}{{40}}

\displaystyle x=\frac{{743\times 4}}{{40}}

\displaystyle x=\frac{{743\times 4}}{{4\times 10}}

\displaystyle x=\frac{{743}}{{10}}