`x/5-2>2/3(x+3)`

Multiply throughout by 5:

`x-10>10/3(x+3)`

Multiply throughout by 3:

`3x-30>10(x+3)` `3x-30>10x+30` `3x>10x+60` `-7x>60` `x<(-60)/7~~-8.57`

`3x-30>10(x+3)`

`3x-30>10x+30`

`3x>10x+60`

`-7x>60`

`x<(-60)/7~~-8.57`

The solution graph:

Please support IntMath!