To solve for $x$, I'll need to extract the relevant information from the image, particularly focusing on the geometric diagrams that likely contain equations involving $x$.

Steps:

1. Identify the relevant figure: In the image, there should be a specific diagram or problem where an equation is set up based on the geometry, likely involving the lengths of sides, angles, or diagonals in a quadrilateral.

2. Set up the equation: Based on the properties of the specific quadrilateral (e.g., parallelogram, rectangle), I would set up an equation using the information provided.

3. Solve the equation: Once the equation is set, I can solve for $x$.

Could you clarify which specific figure or equation you want to solve for $x$? If there’s a particular part of the image you are referring to, I can guide you through solving the problem step by step.