basically I am trying to compare steps in this, which i copied off a handout , brushing up on my math skills I would like to see all the steps, which i cant seem to replicate, mainly from the first equation to the 2nd one, where did that other t2 go? haha i am using X instead of the t2 and i dont use the N but having not a heck of a lot of luck right now getting the step by step to show on wolfram

(T2cos60/cos30) sin30 + T2sin60 = 98N

The rest is just algebra...

T2 (cos60 sin30/cos30 + sin60) = 98N

T2 = 98N/(cos60 sin30/cos30 + sin60)

T2 = 98N / 1.155 = 84.9N

If i wanted it to be a simplified version of what I said solving for X value, with cos and sin still in there, how would I go about that?

One way is not to use numbers for the angles, but symbols. something like

Clear[x, y];
((x Cos[y])/Cos[y/2]) Sin[y/2] + (x Sin[y]) == 98

Now Mathematica can't replace the trig functions with numerical values, since it does not know what the angle y is.