Multistep equation??

Question

w/2+7=w/3 +9

I dont want the answer,,, just a step by step explanation of how this is solved?

Answer 1

w/2+7=w/3 +9

w/2 - w/3 =9-7

lcm=6

(3w)/6- (2w)/6= 2*6/6

(3w-2w)/6=12/6

w/6=12/6

w=12

p.s.

I apologize for the small error of the first, I correct.

Answer 2

w/2 + 7 = w/3 + 9

w/2 + 14/2 = w/3 + 27/3

(w + 14)/2 = (w + 27)/3

3(w + 14) = 2(w + 27)

3w + 42 = 2w + 54

w + 42 = 54

w = 12 = Final Answer