Answer:
Explanation:
We are given the following equation:
![12x + 9 = 4x + 7](https://img.qammunity.org/2023/formulas/mathematics/college/r11ujuh39tufdktql0l9mu0zobrwv3q1o5.png)
In order to solve this equation, we have to rearrange it to make
the subject of the equation:
![12x + 9 = 4x + 7](https://img.qammunity.org/2023/formulas/mathematics/college/r11ujuh39tufdktql0l9mu0zobrwv3q1o5.png)
⇒
[Subtracting
from both sides]
⇒
![8x + 9 = 7](https://img.qammunity.org/2023/formulas/mathematics/college/etzob85ogr0a6ymstcja32sua7dg5w1m5r.png)
⇒
[Subtracting 9 from both sides]
⇒
![8x = -2](https://img.qammunity.org/2023/formulas/mathematics/college/bpmj9v4o7ne3sk7xoax0fx0bvc4vmjglgm.png)
⇒
[Dividing both sides by 8]
⇒
![x = -(2)/(8)](https://img.qammunity.org/2023/formulas/mathematics/college/rp4r4yfh2izfajvz1ke9747pp1rvfn3kjb.png)
⇒
[Simplifying the fraction]