Respuesta :
[tex]x\text{ = -5}\frac{5}{12}[/tex]Explanation:[tex]\frac{1}{10}x+\frac{3}{8}=\frac{-1}{6}[/tex]
Subtract 3/8 from both sides:
[tex]\begin{gathered} \frac{1}{10}x\text{ + }\frac{3}{8}-\frac{3}{8}\text{ = }\frac{-1}{6}\text{ - }\frac{3}{8} \\ \frac{1}{10}x\text{= }\frac{-1}{6}\text{ - }\frac{3}{8} \\ \frac{1}{10}x\text{=}\frac{-1(8)-3(6)}{48} \end{gathered}[/tex][tex]\begin{gathered} \frac{1}{10}x\text{=}\frac{-8-18}{48} \\ \frac{1}{10}x\text{=}\frac{-26}{48} \\ \frac{x}{10}\text{=}\frac{-13}{24} \\ x(24)\text{ = 10(-13)} \end{gathered}[/tex][tex]\begin{gathered} 24x\text{ = -130} \\ x\text{ = }\frac{-130}{24} \\ x\text{ = }\frac{-65}{12} \\ x\text{ = - 5 }\frac{5}{12} \end{gathered}[/tex]