How to solve 12[2/6+4/8+6/12]=x+8

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The solution of this question How to solve 12[2/6+4/8+6/12]=x+8 has been explained in a very simple way by a well-known teacher by doing addition, subtraction, and fractions.
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How to solve 12[2/6+4/8+6/12]=x+8

We will solve this question in the following way in a simple way by writing it like this,

\displaystyle 12\left[ {\frac{2}{6}+\frac{4}{8}+\frac{6}{{12}}} \right]=x+8

\displaystyle 12\left[ {\frac{2}{6}+\frac{{4\times 1}}{{4\times 2}}+\frac{{6\times 1}}{{6\times 2}}} \right]=x+8

\displaystyle 12\left[ {\frac{2}{6}+\frac{1}{2}+\frac{1}{2}} \right]=x+8

\displaystyle 12\left[ {\frac{2}{6}+\frac{{1+1}}{2}} \right]=x+8

\displaystyle 12\left[ {\frac{2}{6}+\frac{2}{2}} \right]=x+8

\displaystyle 12\left[ {\frac{2}{6}+1} \right]=x+8

\displaystyle 12\left[ {\frac{{2+1\times 6}}{6}} \right]=x+8

\displaystyle 12\left[ {\frac{{2+6}}{6}} \right]=x+8

\displaystyle 12\left[ {\frac{8}{6}} \right]=x+8

\displaystyle 12\times \frac{8}{6}=x+8

\displaystyle \frac{{2\times \cancel{6}\times 8}}{{\cancel{6}}}=x+8

\displaystyle 2\times 8=x+8

\displaystyle 16=x+8

\displaystyle 16-8=x

\displaystyle 8=x


x = 8 [Answer]


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