Question

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

Answer 1

`x\text{ = -5}(5)/(12)`

Step-by-step explanation:

`(1)/(10)x+(3)/(8)=(-1)/(6)`

Subtract 3/8 from both sides:

`\begin{gathered} (1)/(10)x\text{ + }(3)/(8)-(3)/(8)\text{ = }(-1)/(6)\text{ - }(3)/(8) \\ (1)/(10)x\text{= }(-1)/(6)\text{ - }(3)/(8) \\ (1)/(10)x\text{=}(-1(8)-3(6))/(48) \end{gathered}`
`\begin{gathered} (1)/(10)x\text{=}(-8-18)/(48) \\ (1)/(10)x\text{=}(-26)/(48) \\ (x)/(10)\text{=}(-13)/(24) \\ x(24)\text{ = 10(-13)} \end{gathered}`
`\begin{gathered} 24x\text{ = -130} \\ x\text{ = }(-130)/(24) \\ x\text{ = }(-65)/(12) \\ x\text{ = - 5 }(5)/(12) \end{gathered}`