How to solve 8/2+1/4+13-x=0

Welcome to my article How to solve 8/2+1/4+13-x=0. 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.
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First write the question on the page of the notebook.

How to solve 8/2+1/4+13-x=0

First of all write like this,

\displaystyle \frac{8}{2}+\frac{1}{4}+13-x=0

\displaystyle \frac{{8\times 2}}{{2\times 2}}+\frac{1}{4}+13-x=0

\displaystyle \frac{{16}}{4}+\frac{1}{4}+13-x=0

\displaystyle \frac{{16+1}}{4}+13-x=0

\displaystyle \frac{{17}}{4}+13-x=0

\displaystyle \frac{{17}}{4}+\frac{{13}}{1}-x=0

\displaystyle \frac{{17}}{4}+\frac{{13\times 4}}{{1\times 4}}-x=0

\displaystyle \frac{{17}}{4}+\frac{{52}}{4}-x=0

\displaystyle \frac{{17+52}}{4}-x=0

\displaystyle \frac{{69}}{4}-x=0

\displaystyle -x=-\frac{{69}}{4}

\displaystyle x=\frac{{69}}{4}

\displaystyle x=17\frac{1}{4}