You are trying to make it too hard.

Let B = - 4.66 × (2.5 – 0.12)

Let C = − 10 × (5-1.5-0.12)

Let D = cos25o×0.25

Let E = sin25o×(5-0.12)

Then your equation reads:

which I'm sure you can solve for T.

Don't get lost in the numbers. No matter how complicated they get, they're still just numbers.

-Dan