Answer
-2.5, 7.5
Work Step by Step
Since this is an absolute value expression, the value inside the absolute value can be positive or negative. Thus, considering both possibilities:
$$ 2x-5 = 10 \\ 2x =15 \\ x=7.5 \\ OR \\ 2x-5 =-10 \\ 2x =-5 \\ x=-2.5$$