Solve: 6 x+1 2 +1= 7 x-3 3 - Vidyadip

Question

Solve: $\frac{6 \mathrm{x}+1}{2}+1=\frac{7 \mathrm{x}-3}{3}$

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Answer

$ \frac{6 x+1}{2}+1=\frac{7 x-3}{3}$
$ \Rightarrow \frac{(6 x+1)+1 \times 2}{2}=\frac{7 x-3}{3}$
$ \Rightarrow \frac{6 x+1+2}{2}=\frac{7 x-3}{3}$
$ \Rightarrow \frac{6 x+3}{2}=\frac{7 x-3}{3}$
$ \Rightarrow 3(6 x+3)=2(7 x-3)$
$ \Rightarrow 18 x+9=14 x-6$
$ \Rightarrow 18 x-14 x=-6-9$
$ \Rightarrow 4 x=-15$
$ \therefore x=\frac{-15}{4}$

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