Answer:
![C.x=4](https://tex.z-dn.net/?f=C.x%3D4)
Step-by-step explanation:
We are given that an equation
![4x-3=2x+5](https://tex.z-dn.net/?f=4x-3%3D2x%2B5)
The replacement set ={2,3,4,5}
We have to find the solution of given equation.
![4x-3=2x+5](https://tex.z-dn.net/?f=4x-3%3D2x%2B5)
![4x-2x-3=5](https://tex.z-dn.net/?f=4x-2x-3%3D5)
Using subtraction property of equality
![2x-3=5](https://tex.z-dn.net/?f=2x-3%3D5)
Combine like terms
![2x=5+3](https://tex.z-dn.net/?f=2x%3D5%2B3)
Subtraction property of equality
![2x=8](https://tex.z-dn.net/?f=2x%3D8)
Addition property of integers.
![x=\frac{8}{2}=4](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B8%7D%7B2%7D%3D4)
Division property of equality
Hcene, the solution of given equation is given by
x=4
Therefore, option C is true.