Solve each of the following equation and also check your result in each case:

$\frac{7}{2} x-\frac{5}{2} x=\frac{20}{3} x+10$

or $\frac{7 \mathrm{x}-5 \mathrm{x}}{2}=\frac{20 \mathrm{x}+30}{3}$

or $40 \mathrm{x}+60=6 \mathrm{x}$

or $34 \mathrm{x}=-60$

or $\mathrm{x}=-\frac{60}{34}=-\frac{30}{17}$

Check :

L.H. S. $=\frac{7}{2} \times \frac{-30}{17}-\frac{5}{2} \times-\frac{30}{17}=-\frac{30}{17}$

R.H.S. $=\frac{20}{3} \times \frac{-30}{17}+10=-\frac{30}{17}$

$\therefore$ L.H.S. $=$ R.H.S. for $\mathrm{x}=-\frac{30}{17}$