translate the sentence to an equation

Question

Twice the difference of a number and 7 is 2

Answer 1

twice the absolute value of (x-7) = 2

2|x-7| =2

|x-7| = 1

x-7 =1 and x = 8,

or

7-x =1 and x =6

x= 6 or 8

or it's also common to treat the "difference of a number and 7" as just x-7

then x=8 is the solution for 2(x-7)=2

"difference" is also commonly used as a positive number, such as what is the age difference between two children ages 7 and 1 = 6 even if you mention the 1 year old first and the 7 year old second, so we don't say they are 1-7 = -6 as the difference