Word problem, turning phrases into equations

Question

Twice the difference of a number and 2 is 6, use the variable W for the unknown number

Answer 1

Using W for the unknown number, we can write the difference of the number and 2 as : (W-2)

Then "twice the difference" would be represented by : 2 (W-2)

Lastly, "is 6" can be represented by: =6

Combining these expressions gives us the following equation: 2 (w-2) = 6

You can solve for W by using inverses operations:

2(W-2 ) = 6

2(W-2)/2 = 6/2

W - 2 = 3

W - 2 + 2 =3 + 2

W = 5