Question 102021
Let x=the number

The first part says,"Four times..."

So automatically write,

4*

Continuing,"Four times the 'difference of a number and one'...". Difference of a number and one is similar to th expression, x-1, connecting it to 4*,

4*(x-1)

The next words are,"is equal to".  This signifies the equal sign. So,

4*(x-1)=
  
The next part:six times the sum of the number and three--same as 6*(x+3)

Then,

4*(x-1)=6*(x+3)
   4x-4=6x+18
     4x=6x+22
    -2x=22
      x=-11


Therefore, th number is -11!