7times a number equals 36 more than a number find the number

step-by-step explanation:

"a number" is the variable (we'll use x here).  so every time the problem says "a number," we'll plug an x in.

now we have: 7 times x equals 36 more than x.  find x.

we can simplify that st8ment^^ by removing the words and replacing them with symbols: 7x = 36 + x.

now for the hard part.  

we have 7x = 36 + x.  we can subtract the one x from the right side of the equation bc there's still the 36 there, but whatever we do to one side of the equation, we have to do to the other side, so we have to subtract an x from the left side, too.  so the equation should look like this now: 6x = 36.

we want to get the x by itself to find out what it equals, so we can divide 6x by 6 to get 1x.  remember that what we do to one side has to be done to the other side, so we'll divide 36 by 6 as well, which leaves us with 1x = 6.  

so the answer to the equation is: x = 6