2/5 x = -8/15
Divide both sides by (2/5) to isolate x:
x = (-8/15) / (2/5)
$${\frac{{\mathtt{\,-\,}}\left({\frac{{\mathtt{8}}}{{\mathtt{15}}}}\right)}{\left({\frac{{\mathtt{2}}}{{\mathtt{5}}}}\right)}} = {\mathtt{\,-\,}}{\frac{{\mathtt{4}}}{{\mathtt{3}}}} = -{\mathtt{1.333\: \!333\: \!333\: \!333\: \!333\: \!3}}$$
x = -4/3
2/5 x = -8/15
Divide both sides by (2/5) to isolate x:
x = (-8/15) / (2/5)
$${\frac{{\mathtt{\,-\,}}\left({\frac{{\mathtt{8}}}{{\mathtt{15}}}}\right)}{\left({\frac{{\mathtt{2}}}{{\mathtt{5}}}}\right)}} = {\mathtt{\,-\,}}{\frac{{\mathtt{4}}}{{\mathtt{3}}}} = -{\mathtt{1.333\: \!333\: \!333\: \!333\: \!333\: \!3}}$$
x = -4/3