Given:
The equation is
[tex]8x-1=-50[/tex]
To find:
The value of x by separating the variable.
Solution:
We have,
[tex]8x-1=-50[/tex]
Here, -1 is not next to the variable. So, move -1 to the other side of the equation by using the opposite operation. After moving -1 to the right side of the equation it will become +1.
[tex]8x=-50+1[/tex]
[tex]8x=-49[/tex]
Divide both sides by 8.
[tex]x=\dfrac{-49}{8}[/tex]
Therefore, the value of x is [tex]\dfrac{-49}{8}[/tex].