In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
x - 8 / x + 10 = 1 / 10
Step 02:
equation:
restrictions ===> denominator = 0
[tex]\begin{gathered} \frac{x-8}{x+10}=\frac{1}{10} \\ 10(x\text{ -8) = 1 (x +10) } \\ 10x\text{ - 80=x +10} \\ 10x\text{ -x = }10\text{ + 80} \\ 9x\text{ = 90} \\ x\text{ = 90/9 = }10 \end{gathered}[/tex]
In this case, because it is an equation, we can modify the terms and x would not have a restriction.
The answer is:
no restriction
