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

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

or $2 \mathrm{x}+5=9 \mathrm{x}-30$

or $9 \mathrm{x}-2 \mathrm{x}=5+30$

or $7 \mathrm{x}=35$

or $\mathrm{x}=\frac{35}{7}$

or $\mathrm{x}=5$

Verification :

L. H. S. $=\frac{10+5}{3}=\frac{15}{3}=5$

R. H.S. $=15-10=5$

$\therefore$ L.H.S. $=$ R.H.S. for $x=5$.