Answer:
See Explanation
Explanation:
Given
![mx + 2x = 6](https://img.qammunity.org/2022/formulas/mathematics/college/kebpn1i3s0xh6lkrvcelka5mdxelb97sg3.png)
Required
Make the variable in bracket the subject
From the given expression, none of the variables (m and x) are in brackets.
So, I will solve for m and then solve for x
Solving for m:
![mx + 2x = 6](https://img.qammunity.org/2022/formulas/mathematics/college/kebpn1i3s0xh6lkrvcelka5mdxelb97sg3.png)
Subtract 2x from both sides
![mx = 6 - 2x](https://img.qammunity.org/2022/formulas/mathematics/college/y2gncm94avi320olp29uk59lesat6la84p.png)
Divide both sides by x
![m = (6 - 2x)/(x)](https://img.qammunity.org/2022/formulas/mathematics/college/czzf0z127wx7hkx2o1nendj9c9ta7eb22b.png)
Solving for x:
![mx + 2x = 6](https://img.qammunity.org/2022/formulas/mathematics/college/kebpn1i3s0xh6lkrvcelka5mdxelb97sg3.png)
Factorize
![x(m+2)= 6](https://img.qammunity.org/2022/formulas/mathematics/college/79wlqt16yn4qthsn3yuor0462rh5txtjss.png)
Divide both sides by m + 2
![x = (6)/(m+2)](https://img.qammunity.org/2022/formulas/mathematics/college/w9nsey6aa4tspo000kbszii7gpurcshgbu.png)