Question

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

Answer 1

\[\frac{2x}{3} - \frac{3x}{8} = \frac{7}{12}\]
\[\text{ or }\frac{16x - 9x}{24} = \frac{7}{12}\]
\[\text{ or }\frac{7x}{24} = \frac{7}{12}\]
\[\text{ or }x = \frac{7}{12} \times \frac{24}{7} = 2\]
\[\text{ Verification: }\]
\[L . H . S . = \frac{4}{3} - \frac{6}{8} = \frac{32 - 18}{24} = \frac{7}{12}\]
\[R . H . S . = \frac{7}{12}\]
\[ \therefore R . H . S . = L . H . S . \text{ for }x = 2\]