Question

Solve for m:

(2m-1)/(3)=5+(m)/(6)

Answer 1

m= 32/3 or something

Answer 2

Okay. So first, you want to mutliply both sides by 3. This will give you:
\[2m-1=15+3m/2\]
Now add 1 to both sides. This gives you:
2m = 16+3m/2
Multiply both sides by 2:
This gives you:
4m = 32+3m
Subtract 3m from both sides and you have:
m = 32
Hope this helps!
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Answer 3

@ seanwalsh1984

The problem equation is:
\[\frac{2m-1}{3}=5+\frac{m}{6}\]The solution for m in the preceding equation is 32/5, not 32. If m is replaced by the value, 32, your solution, the LHS does not equal the RHS.\[\left\{\frac{2m-1}{3},5+\frac{m}{6}\right\}\text{/.} m\to 32\text{ }\to \text{ }\left\{21,\frac{31}{3}\right\} \]