#### Answer

x = -9

#### Work Step by Step

$\frac{3x}{5}$-$\frac{x-6}{3}$=-$\frac{2}{5}$
15($\frac{3x}{5}$-$\frac{x-6}{3}$=15(-$\frac{2}{5}$)
15$\frac{3x}{5}$-15$\frac{x-6}{3}$=-3*2
3*3x-5(x-6)=-6
9x-5x+30=-6
4x=-6-30
4x=-36
x=-9
The solution is -9
Check
Let x=-9
$\frac{3(-9)}{5}$-$\frac{-9-6}{3}$=-$\frac{2}{5}$
$\frac{-27}{5}$-$\frac{-15}{3}$=-$\frac{2}{5}$
15$\frac{-27}{5}$-15$\frac{-15}{3}$=-15$\frac{2}{5}$
3*(-27)-5(-15)=-3*2
-81+75=-6
-6=-6