12+4m=3m-52

Subtract 3m from both sides of the equation.

12+4m-3m=-52

Subtract 3m from 4m.

12+m=-52

12+m=-52

Subtract 12 from both sides of the equation.

m=-52-12

Combine the numerators over the common denominator.

m=-5-12

Subtract 1 from -5.

m=-62

Divide -6 by 2.

m=-3

m=-3

Solve for m 1/2+4m=3m-5/2