#### Answer

The solution is $(8,\infty)$

#### Work Step by Step

$7-\dfrac{4}{5}x\lt\dfrac{3}{5}$
Multiply the whole inequality by $5$:
$5\Big(7-\dfrac{4}{5}x\lt\dfrac{3}{5}\Big)$
$35-4x\lt3$
Take $4x$ to the right side and $3$ to the left side:
$35-3\lt4x$
Rearrange and simplify:
$4x\gt35-3$
$4x\gt32$
Take the $4$ to divide the right side:
$x\gt\dfrac{32}{4}$
$x\gt8$
Express the solution using interval notation:
The solution is $(8,\infty)$