Question

6m-5=7m+7-m
soloution or no sloution?

Answer 1

no solution.
6m-5=7m+7-m combine likes on the right
6m-5=6m+7 subtract 6m from both sides and add 5
0=12 <== not true.

Answer 2

Or you could write it like this:

6m - 5 = 6m +7

same slope (6), different y-intercepts (-5) and (+7). That means they are parallel, but not overlapping, and there is no solution.

Picture attached.