Help me with this difficult question

Question

Half the sum of a number and eight is six less than the same number

Answer 1

Half the sum of a number and eight is six less than the same number

let number = n

sum of a number and eight = n+8

Half the sum of a number and eight =(1/2)(n+8)

six less than the same number = n-6

so

(1/2)(n+8) =n-6

multiply with 2 to both sides

n+ 8 =2(n-6)

n+8 =2n -12

n=20

Answer 2

Let x = the number

(1/2)((x+8) = x-6

x+8 = 2x-12

x = 20