The sum of six times a number and 1 is equal to five times the number. Find the number.

The sum of six times a number and 1 is equal to five times the number. Find the number.

The phrase a number means an arbitrary variable, let's call it x.

6 times a number is written as:
6x

the sum of six times a number and 1 is written as:
6x + 1

Five times the number is written as:
5x

The phrase is equal to means an equation, so we set 6x + 1 equal to 5x:
6x + 1 = 5x

Plugging this into our search engine, we get:
x = -1