It seems there might be a misunderstanding in your attempt to solve the equation [tex]\( x = -8 + x \)[/tex]. Let's solve the equation step-by-step.
### Step-by-Step Solution:
1. Given equation:
[tex]\[
x = -8 + x
\][/tex]
2. Subtract [tex]\( x \)[/tex] from both sides of the equation to simplify:
[tex]\[
x - x = -8 + x - x
\][/tex]
3. This simplifies to:
[tex]\[
0 = -8
\][/tex]
### Conclusion:
The equation [tex]\( 0 = -8 \)[/tex] is a contradiction because 0 and -8 are not equal. This tells us that there is no value of [tex]\( x \)[/tex] that can satisfy the equation.
### Final Answer:
The equation [tex]\( x = -8 + x \)[/tex] has no solutions.
This means that there is no value of [tex]\( x \)[/tex] which, when substituted into the equation, will make the equation true.