$\frac{3}{5}$ + $\frac{2}{5}$(2${x}$ - 3 ) = 4$\frac{1}{5}$
$\frac{3}{5}$ + $\frac{2}{5}$(2${x}$ - 3 ) = $\frac{21}{5}$
$\frac{2}{5}$(2${x}$ - 3 ) = $\frac{21}{5}$ - $\frac{3}{5}$
$\frac{2}{5}$(2${x}$ - 3 ) = $\frac{18}{5}$
2${x}$ - 3 = $\frac{18}{5}$ : $\frac{2}{5}$
2${x}$ - 3 = 9
2${x}$ = 9 + 3
2${x}$ = 12
${x}$ = 12 : 2
${x}$ = 6