Missing steps

I need to know the steps to get from:

1/2*T + 1/2*sqrt(3)*T = mg

to:

T = 2mg/(1 + sqrt(3))

This is the latter part of a video here: https://courses.edx.org/courses/MITx/8.MReVx/2T2014/courseware/Unit_1/Equilibrium/
The first equation shows up at about 5:45 minutes and then the teacher jumps to the second equation at 6:00. I can't figure out how to do this.

Thanks so much for any help you can offer!

Bill

Basic algebra steps:

1) Multiply both sides of the equation by 2.

2) Factor out T on the left hand side.

3) Divide both sides by (1 + sqrt(3))
 
Basic algebra steps:

1) Multiply both sides of the equation by 2.

2) Factor out T on the left hand side.

3) Divide both sides by (1 + sqrt(3))

Got it! It's amazing how much we forget in 55 years. Thanks a bunch!!!
 
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