Twice the sum of half a number and 3 times the number is 27 more than half of 5 times the number. Find the number.

Question

Answer is 6. Explain the answer.  Show work. 

Answer 1

2((x/2)+3x)=27+(5x/2)

x+6x=27+(5/2)x

7x-(5/2)x=27

(9/2)x=27

x=(2/9)27=6