The sum of twice a number and 14 less than the number is the same as the difference between -26 and the number. What is the number?

There are 2 clauses here. You need to translate each to maths language.

1) The sum of twice a number and 14 less than the number

2) is the same as the difference between -26 and the number

SO

1) The sum of twice a number and 14 less than the number

sum + ( 2 x N ) ( N - 14 )

2) is the same as the difference between -26 and the number

2) is the same as the difference between -26 and the number

= ( -26 - N )

Now remember the difference could be (-26 - N) or (N - (-26))

so you want the absolute value between them.

So the equation is: ( 2 x N ) + ( N - 14 ) = | -26 - N | or | N + 26 |

2N + N - 14 = |N+26|

3N = |N+26| + 14

can you take it from here?