First move 1/2 to the right of the expression so that it will look like this 4*m1/2=3*m-5/2 then move the 3*m an 5/2 to the left so it will look like this
4*m1/2-3*m+5/2=0 then add the fractions together so it becomoes 4*m+6/2-3*m=0 move 6/2 to the right of the expresson then the factors 6 an 2 have the geastes common factor of 2 so then reducing the fractions it becomes 4*m-3*m=3/1=0 then remove the 1 from 3/1 and it will become 4*m-3*m+3=0 an then eliminate similar terms(4*m and 3*m) replacing thehm with (4-3)*m so that the problem becomes (4-3)*m+3=0 then remove (4-3) from the problem so it becomes m+3=0 an the solution for m=-3