twice the difference of a number and 6 is equal to three times the sum of the number and 2

Question

twice the difference of a number and 6 is equal to three times the sum of the number and 2

Answer 1

number = n

 

twice the difference of a number and 6 = 2(n-6)

 

three times the sum of the number and 2 = 3(n +2)

 

2 (n-6) = 3(n+2)

2n -12 =3n +6

 

-n = 18

n = -18

Answer 2

n = the number

 

2(n - 6) = 3(n + 2)

 

Try to solve for n and finish from here.