2(5-2m)= -6(3m-2)

2(5 - 2m)  =  -6(3m - 2)

Multiply out by using the distributive property:

10 - 4m  =  -18m + 12

Add  18m  to both sides:

10 + 14m  =  12

Subtract  10  from both sides:

14m  =  2

Divide both sides by  14:

m  =  1/7