The problem involves a triangle where we are solving for $x$. The triangle likely incorporates geometric principles such as the Pythagorean theorem or trigonometric relationships. Let's break it down step-by-step based on the image:

1. The given sides are:

   • $24$ (hypotenuse of the larger triangle),
   • $10$ (a shorter side in the inner triangle),
   • $21$ (a base segment).

2. There is also an expression $2x - 3$ associated with an angle or a segment.

Solution Approach:

Step 1: Verify triangle relationships.

• Since the smaller triangle is part of the larger triangle, similar triangles might be involved.
• This can lead to proportionate sides.

Step 2: Write and solve equations.

• Using similarity or Pythagoras, calculate unknown sides and solve for $x$.

Would you like me to provide detailed computations and check the triangle's similarity and proportionality?