In a parallelogram, the diagonals bisect each other. This means that segments ML and LO are equal in length.
Given:
- \( ML = x + 7 \)
- \( LO = 2x - 10 \)
Since ML = LO, we can set up the equation:
\[ x + 7 = 2x - 10 \]
To solve for \( x \), we will isolate \( x \) on one side. First, subtract \( x \) from both sides:
\[ 7 = x - 10 \]
Next, add 10 to both sides:
\[ 7 + 10 = x \] \[ x = 17 \]
Thus, the value of \( x \) is \( \boxed{17} \).