The sum of eight times a number, and 1, is equal to seven times the number

Question

The sum of eight times a number, and 1, is equal to seven times the number

Answer 1

Let x = the number

 

8x + 1 = 7x

 

1 = -x

 

x = -1

 

Check:

 

8(-1) + 1 = -8 + 1 = -7

 

7(-1) = -7

 

Since both sides of the equation yield the same answer, then x = -1 is the correct solution.