सोडोवचें (1+1/2+1/3)(x-2/frac{1{2}-1/3}+1)=1+2^-1+3^-1

$$( 1 + \frac { 1 } { 2 } + \frac { 1 } { 3 } ) ( \frac { x - 2 } { \frac { 1 } { 2 } - \frac { 1 } { 3 } } + 1 ) = 1 + 2 ^ { - 1 } + 3 ^ { - 1 }$$

x खातीर सोडोवचें

$$x=2$$

लिनियर समिकरण सोडोवंक पांवडे

\frac{3}{2} मेळोवंक 1 आनी \frac{1}{2} ची बेरीज करची.

$$\left(\frac{3}{2}+\frac{1}{3}\right)\left(\frac{x-2}{\frac{1}{2}-\frac{1}{3}}+1\right)=1+2^{-1}+3^{-1}$$

\frac{11}{6} मेळोवंक \frac{3}{2} आनी \frac{1}{3} ची बेरीज करची.

$$\frac{11}{6}\left(\frac{x-2}{\frac{1}{2}-\frac{1}{3}}+1\right)=1+2^{-1}+3^{-1}$$

\frac{1}{6} मेळोवंक \frac{1}{2} आनी \frac{1}{3} वजा करचे.

$$\frac{11}{6}\left(\frac{x-2}{\frac{1}{6}}+1\right)=1+2^{-1}+3^{-1}$$

\frac{x-2}{\frac{1}{6}}+1 न \frac{11}{6} गुणपाक विभाजक विशमाचो वापर करचो.

$$\frac{11}{6}\times \frac{x-2}{\frac{1}{6}}+\frac{11}{6}=1+2^{-1}+3^{-1}$$

\frac{1}{2} मेळोवंक -1 चो 2 पॉवर मेजचो.

$$\frac{11}{6}\times \frac{x-2}{\frac{1}{6}}+\frac{11}{6}=1+\frac{1}{2}+3^{-1}$$

\frac{3}{2} मेळोवंक 1 आनी \frac{1}{2} ची बेरीज करची.

$$\frac{11}{6}\times \frac{x-2}{\frac{1}{6}}+\frac{11}{6}=\frac{3}{2}+3^{-1}$$

\frac{1}{3} मेळोवंक -1 चो 3 पॉवर मेजचो.

$$\frac{11}{6}\times \frac{x-2}{\frac{1}{6}}+\frac{11}{6}=\frac{3}{2}+\frac{1}{3}$$

\frac{11}{6} मेळोवंक \frac{3}{2} आनी \frac{1}{3} ची बेरीज करची.

$$\frac{11}{6}\times \frac{x-2}{\frac{1}{6}}+\frac{11}{6}=\frac{11}{6}$$

\frac{x}{\frac{1}{6}}+\frac{-2}{\frac{1}{6}} मेळोवंक x-2 च्या दरेक संज्ञेक \frac{1}{6} न भाग लावचो.

$$\frac{11}{6}\left(\frac{x}{\frac{1}{6}}+\frac{-2}{\frac{1}{6}}\right)+\frac{11}{6}=\frac{11}{6}$$

\frac{1}{6} च्या पुरकाक -2 गुणून \frac{1}{6} न -2 क भाग लावचो.

$$\frac{11}{6}\left(\frac{x}{\frac{1}{6}}-2\times 6\right)+\frac{11}{6}=\frac{11}{6}$$

-12 मेळोवंक -2 आनी 6 गुणचें.

$$\frac{11}{6}\left(\frac{x}{\frac{1}{6}}-12\right)+\frac{11}{6}=\frac{11}{6}$$

\frac{x}{\frac{1}{6}}-12 न \frac{11}{6} गुणपाक विभाजक विशमाचो वापर करचो.

$$\frac{11}{6}\times \frac{x}{\frac{1}{6}}-22+\frac{11}{6}=\frac{11}{6}$$

-\frac{121}{6} मेळोवंक -22 आनी \frac{11}{6} ची बेरीज करची.

$$\frac{11}{6}\times \frac{x}{\frac{1}{6}}-\frac{121}{6}=\frac{11}{6}$$

दोनूय वटांनी \frac{121}{6} जोडचे.

$$\frac{11}{6}\times \frac{x}{\frac{1}{6}}=\frac{11}{6}+\frac{121}{6}$$

22 मेळोवंक \frac{11}{6} आनी \frac{121}{6} ची बेरीज करची.

$$\frac{11}{6}\times \frac{x}{\frac{1}{6}}=22$$

दोनूय कुशीनीं \frac{6}{11} न गुणचें, \frac{11}{6} चो रेसिप्रोकल.

$$\frac{x}{\frac{1}{6}}=22\times \frac{6}{11}$$

12 मेळोवंक 22 आनी \frac{6}{11} गुणचें.

$$\frac{x}{\frac{1}{6}}=12$$

दोनूय कुशीनीं \frac{1}{6} न गुणचें.

$$x=12\times \frac{1}{6}$$

2 मेळोवंक 12 आनी \frac{1}{6} गुणचें.

$$x=2$$