Please retype this so we have a chance of understanding what is meant

I am guessing:

[2x, 0, 2]' + [-2, 0, 12]' + [0, 2y, -5y]' = [10, 6, 2x+12-5y]'

Rewrite this as a set of equations, one for each component:

2x-2+0=10

0+0+2y=6

2+12-5y=2x+12-5y

Now solve this system (if it has a soution that is)

RonL