Answer:
B
Explanation:
So we have the equation:
![(3m-3)/(5)=(2m-1)/(2)](https://img.qammunity.org/2021/formulas/mathematics/high-school/i4l9d174rvbzu3jkvlwyenpdb6tiomhleo.png)
First, let's get rid of the fractions. Multiply both sides by the LCM of 5 and 2, which is 10:
![10((3m-3)/(5))=10((2m-1)/(2))](https://img.qammunity.org/2021/formulas/mathematics/high-school/w85a292oey7zumsmh0jwdorqhu8gauk7nh.png)
On the left, the 10 gets reduced to 2. On the right, the 10 gets reduced to 5. Thus:
![2(3m-3)=5(2m-1)](https://img.qammunity.org/2021/formulas/mathematics/high-school/ys9yifddso6uq85h2k4rebrl8aunycoaen.png)
Distribute:
![6m-6=10m-5](https://img.qammunity.org/2021/formulas/mathematics/high-school/qbk46lxoe3eslkzzqp6b9nfkrqlx8smssy.png)
Subtract 6m from both sides:
![-6=4m-5](https://img.qammunity.org/2021/formulas/mathematics/high-school/65hg9taejz6f990bhrdcu381hsx5m3mcpj.png)
Add 5 to both sides:
![-1=4m](https://img.qammunity.org/2021/formulas/mathematics/high-school/2bkc23xebweas6a0leov3mkuud41pk73hu.png)
Divide both sides by 4:
![m=-(1)/(4)](https://img.qammunity.org/2021/formulas/mathematics/college/vatb41vj58nqep5gm3rxvz63bnjylf5fkj.png)
And we're done!
The answer is B.