Solve each of the following equation and also verify your solution:
Question:

Solve each of the following equation and also verify your solution:

$\frac{x}{2}-\frac{4}{5}+\frac{x}{5}+\frac{3 x}{10}=\frac{1}{5}$

Solution:

$\frac{x}{2}-\frac{4}{5}+\frac{x}{5}+\frac{3 x}{10}=\frac{1}{5}$

or $\frac{x}{2}+\frac{x}{5}+\frac{3 x}{10}=\frac{1}{5}+\frac{4}{5}$

or $\frac{5 x+2 x+3 x}{10}=\frac{5}{5}$

or $\frac{10 x}{10}=1$

Verification :

L. H.S. $=\frac{1}{2}-\frac{4}{5}+\frac{1}{5}+\frac{3}{10}$

$=\frac{5-8+2+3}{10}=\frac{1}{5}=$ R. H.S.

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