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

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

$\frac{2 x}{3}-\frac{3 x}{8}=\frac{7}{12}$

Solution:

$\frac{2 \mathrm{x}}{3}-\frac{3 \mathrm{x}}{8}=\frac{7}{12}$

or $\frac{16 \mathrm{x}-9 \mathrm{x}}{24}=\frac{7}{12}$

or $\frac{7 \mathrm{x}}{24}=\frac{7}{12}$

or $\mathrm{x}=\frac{7}{12} \times \frac{24}{7}=2$

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. for $\mathrm{x}=2$

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