Answer:
The value of the provided equation for x is
.
Explanation:
Consider the provided equation.
![3z+8=12+3x-z](https://img.qammunity.org/2020/formulas/mathematics/middle-school/6jqnksnegxwxg9vjfd9c08duxywrgmx9po.png)
We need to solve the equation for x.
Add z from both the sides.
![3z+8+z=12+3x-z+z](https://img.qammunity.org/2020/formulas/mathematics/middle-school/kajzl5gic9ra31v4tqh9zgnjcdwqe4oo5e.png)
![4z+8=12+3x](https://img.qammunity.org/2020/formulas/mathematics/middle-school/kwb99jk1dx8k86m63ykehn8gbft29xiohm.png)
Subtract 12 from both the sides.
![4z+8-12=12-12+3x](https://img.qammunity.org/2020/formulas/mathematics/middle-school/rflzu9rmpduhu02gzs0ngs7u9emfhe2p8q.png)
![4z-4=3x](https://img.qammunity.org/2020/formulas/mathematics/middle-school/y3d3uoshbr6fcbb2k36ac3je7z8eu83ii5.png)
Divide both the sides by 3.
![(4z-4)/(3)=(3x)/(3)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/hnxgisddqjthywil0x15d2g3d5gl6ewre0.png)
![x=(4z-4)/(3)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/5b7lydolsqz335bbvqkq8r096s2twvyu2v.png)
Hence, the value of the provided equation for x is
.