[tex]7\frac{2}{3}=\frac{1}{5}x+\frac{2}{3}-1\frac{1}{5}x\\\\\frac{23}{3}*\frac{5}{5}=\frac{1}{5}x*\frac{3}{3}+\frac{2}{3}*\frac{5}{5}-\frac{6}{5}x*\frac{3}{3}\\\\\frac{115}{15}=\frac{3}{15}x+\frac{10}{15}-\frac{18}{15}x\\\\115=3x+10-18x\\\\105=-15x\\\\\\x=-7[/tex]