Answer
$\frac{1}{2}$
Work Step by Step
Step 1. We can remove the absolute sign and separate the cases to: $x+10=x-11$ and $x+10=-x+11$
Step 2. For $x+10=x-11$, we have $10=-11$, thus no solution for this case.
Step 3. For $x+10=-x+11$, we have $2x=1$, thus $x=\frac{1}{2}$
Step 4. Check the answer and it fits, thus the solution is $x=\frac{1}{2}$
