Answer:
[tex]-11[/tex]
Step-by-step explanation:
Let the number be "x"
So,
Sum of the number and 5 is DOUBLED, the result would be ONE LESS THAN number, so we can write:
(x + 5)*2 = x - 1
See how we took the sum, added parenthesis and then DOUBLED it (LHS). And RHS is 1 less than number (x). Now we simply use distributive property [ a(b+c) = ab + ac ] to simplify and solve for x, the number. Shown below:
[tex](x + 5)*2 = x - 1\\2x+10=x-1\\2x-x=-1-10\\x=-11[/tex]
Thus,
the number is -11
