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

$\frac{x}{2}+\frac{x}{8}=\frac{1}{8}$

or $\frac{4 \mathrm{x}+\mathrm{x}}{8}=\frac{1}{8}$

or $\frac{5 x}{8}=\frac{1}{8}$

or $\mathrm{x}=\frac{1}{8} \times \frac{8}{5}=\frac{1}{5}$

Verification :

L.H.S. $=\frac{1}{2} \times \frac{1}{5}+\frac{1}{8} \times \frac{1}{5}=\frac{1}{10}+\frac{1}{40}=\frac{5}{40}=\frac{1}{8}=$ R.H. S.