Question

Solve each of the following equation and also verify your solution:
$\frac{2x}{3}-\frac{3x}{8}=\frac{7}{12}$

Answer 1

$$\begin{gathered} \frac{2\mathrm{x}}{3}-\frac{3\mathrm{x}}{8}=\frac{7}{12} \\ \mathrm{or}\frac{16\mathrm{x}-9\mathrm{x}}{24}=\frac{7}{12} \\ \mathrm{or}\frac{7\mathrm{x}}{24}=\frac{7}{12} \\ \mathrm{or}\mathrm{x}=\frac{7}{12}\times \frac{24}{7}=2 \\ \mathrm{Verification}: \\ \mathrm{L}.\mathrm{H}.\mathrm{S}.=\frac{4}{3}-\frac{6}{8}=\frac{32-18}{24}=\frac{7}{12} \\ \mathrm{R}.\mathrm{H}.\mathrm{S}.=\frac{7}{12} \\ \therefore \mathrm{R}.\mathrm{H}.\mathrm{S}.=\mathrm{L}.\mathrm{H}.\mathrm{S}.\mathrm{for}\mathrm{x}=2 \end{gathered}$$