Answer:
The value of the equation for x is
.
Step-by-step explanation:
Consider the provided equation.
![\frac{6x-2}{4}=x-2](https://tex.z-dn.net/?f=%5Cfrac%7B6x-2%7D%7B4%7D%3Dx-2)
We need to solve the equation for x.
Multiply both the sides by 4.
![4\times\frac{6x-2}{4}=4\times(x-2)](https://tex.z-dn.net/?f=4%5Ctimes%5Cfrac%7B6x-2%7D%7B4%7D%3D4%5Ctimes%28x-2%29)
![6x-2=4x-8](https://tex.z-dn.net/?f=6x-2%3D4x-8)
Subtract 4x from both the sides.
![6x-4x-2=4x-4x-8](https://tex.z-dn.net/?f=6x-4x-2%3D4x-4x-8)
![2x-2=-8](https://tex.z-dn.net/?f=2x-2%3D-8)
Add 2 both the sides.
![2x-2+2=-8+2](https://tex.z-dn.net/?f=2x-2%2B2%3D-8%2B2)
![2x=-6](https://tex.z-dn.net/?f=2x%3D-6)
Divide both the sides by 2.
![x=\frac{-6}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-6%7D%7B2%7D)
![x=-3](https://tex.z-dn.net/?f=x%3D-3)
Hence, the value of the equation for x is
.