Question

1/10x+3/8=-1/6solve for x

Answer 1

$x\text{ = -5}\frac{5}{12}$

Explanation:

$\frac{1}{10}x+\frac{3}{8}=\frac{-1}{6}$

Subtract 3/8 from both sides:

$\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}$$\begin{gathered} \frac{1}{10}x\text{=}\frac{-8-18}{48} \\ \frac{1}{10}x\text{=}\frac{-26}{48} \\ \frac{x}{10}\text{=}\frac{-13}{24} \\ x(24)\text{ = 10(-13)} \end{gathered}$$\begin{gathered} 24x\text{ = -130} \\ x\text{ = }\frac{-130}{24} \\ x\text{ = }\frac{-65}{12} \\ x\text{ = - 5 }\frac{5}{12} \end{gathered}$