Answer:
B
Step-by-step explanation:
So we have the equation:
[tex]\frac{3m-3}{5}=\frac{2m-1}{2}[/tex]
First, let's get rid of the fractions. Multiply both sides by the LCM of 5 and 2, which is 10:
[tex]10(\frac{3m-3}{5})=10(\frac{2m-1}{2})[/tex]
On the left, the 10 gets reduced to 2. On the right, the 10 gets reduced to 5. Thus:
[tex]2(3m-3)=5(2m-1)[/tex]
Distribute:
[tex]6m-6=10m-5[/tex]
Subtract 6m from both sides:
[tex]-6=4m-5[/tex]
Add 5 to both sides:
[tex]-1=4m[/tex]
Divide both sides by 4:
[tex]m=-\frac{1}{4}[/tex]
And we're done!
The answer is B.
