Answer:
![5x - 1 = -6](https://img.qammunity.org/2021/formulas/mathematics/college/avuxjvtewga205boy00t7pd8zphml1z7ew.png)
![x = -1](https://img.qammunity.org/2021/formulas/mathematics/middle-school/3loqdtdg9hh8zzjli4de5zvkusbzzj2ya6.png)
Explanation:
The model above shows a weigh balance which can be represented by an equation have two sides, of which must be equal to each other.
On the right of the equation, we have 5 "x" and 1 "-", which can be represented as:
.
On the other side, we have 6 "-1", which can be represented as: -6.
The equation that can be used to solve x is:
![5x - 1 = -6](https://img.qammunity.org/2021/formulas/mathematics/college/avuxjvtewga205boy00t7pd8zphml1z7ew.png)
Solve for x. Add 1 to both side
![5x - 1 + 1 = -6 + 1](https://img.qammunity.org/2021/formulas/mathematics/college/g8ol8krg6ebhe1wz4ce8v7vt0svr5d1uuj.png)
![5x = -5](https://img.qammunity.org/2021/formulas/mathematics/middle-school/x8s355xtc3x7b7erwb2kjh2tw22gzfym5v.png)
Divide both sides by 5
![(5x)/(5) = (-5)/(5)](https://img.qammunity.org/2021/formulas/mathematics/college/2x0vbeuky8pkkzpfd923oe7mj0w8e8fab7.png)
![x = -1](https://img.qammunity.org/2021/formulas/mathematics/middle-school/3loqdtdg9hh8zzjli4de5zvkusbzzj2ya6.png)