Final answer:
To find the value of x, set up the equation 4x - 5 = 2x + 5 and solve for x. The answer is x = 5.
Step-by-step explanation:
To find the value of x, we can set up an equation using the fact that M is the midpoint of CD. Since CM and MD are equal in length, we can set up the equation 4x - 5 = 2x + 5 and solve for x.
First, let's simplify the equation: 4x - 2x = 5 + 5.
Combining like terms, we get 2x = 10. Dividing both sides by 2, we find that x = 5.