Answer:
![x=2](https://tex.z-dn.net/?f=x%3D2)
Step-by-step explanation:
We have been given an equation
. We are asked to solve our given equation by explaining each step.
First of all, we will subtract 15 from both sides of our given equation as:
![4(2x-5)+15-15=11-15](https://tex.z-dn.net/?f=4%282x-5%29%2B15-15%3D11-15)
![4(2x-5)=-4](https://tex.z-dn.net/?f=4%282x-5%29%3D-4)
Now, we will divide both sides of our equation by 4 as:
![\frac{4(2x-5)}{4}=\frac{-4}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B4%282x-5%29%7D%7B4%7D%3D%5Cfrac%7B-4%7D%7B4%7D)
![2x-5=-1](https://tex.z-dn.net/?f=2x-5%3D-1)
Now, we will add 5 on both sides of our equation.
![2x-5+5=-1+5](https://tex.z-dn.net/?f=2x-5%2B5%3D-1%2B5)
![2x=4](https://tex.z-dn.net/?f=2x%3D4)
Finally, we will divide both sides of our equation by 2.
![\frac{2x}{2}=\frac{4}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B2x%7D%7B2%7D%3D%5Cfrac%7B4%7D%7B2%7D)
![x=2](https://tex.z-dn.net/?f=x%3D2)
Therefore, the solution for our given equation is
.