Final answer:
The expression (-11/2x + 3) - 2 (-11/4x - 5/2) simplifies to 8 after distributing and combining like terms.
Step-by-step explanation:
Solving the expression (-11/2x + 3) - 2 (-11/4x - 5/2) involves distributing the negative sign through the second set of parentheses and combining like terms.
First, let's distribute the -2:
-2 * (-11/4x) = 11/2x
-2 * (-5/2) = 5
Now, the expression becomes:
(-11/2x + 3) + 11/2x + 5.
Combine like terms:
-11/2x + 11/2x + 3 + 5
The x terms cancel out, yielding:
3 + 5 which simplifies to 8.
Therefore, the expression in the simplest form is 8.