Question

Solve each of the following equation and also verify your solution:
$\frac{x}{2}-\frac{4}{5}+\frac{x}{5}+\frac{3x}{10}=\frac{1}{5}$

Answer 1

$$\begin{gathered} \frac{\mathrm{x}}{2}-\frac{4}{5}+\frac{\mathrm{x}}{5}+\frac{3\mathrm{x}}{10}=\frac{1}{5} \\ \mathrm{or}\frac{\mathrm{x}}{2}+\frac{\mathrm{x}}{5}+\frac{3\mathrm{x}}{10}=\frac{1}{5}+\frac{4}{5} \\ \mathrm{or}\frac{5\mathrm{x}+2\mathrm{x}+3\mathrm{x}}{10}=\frac{5}{5} \\ \mathrm{or}\frac{10\mathrm{x}}{10}=1 \\ \text{or}\mathrm{x}=1 \\ \mathrm{Verification}: \\ \mathrm{L}.\mathrm{H}.\mathrm{S}.=\frac{1}{2}-\frac{4}{5}+\frac{1}{5}+\frac{3}{10} \\ =\frac{5-8+2+3}{10}=\frac{1}{5}=\mathrm{R}.\mathrm{H}.\mathrm{S}. \end{gathered}$$