Let the given number is x
11 more than five times the number, means
Multiply x by 5, then add 11
The difference between 144 and twice the number means
Multiply x by 2, then subtract it from 144
Now equate the two expressions (1), (2) above
Add 2x to both sides
Subtract 11 from both sides
Divide both sides by 7
The number is 19