Question

Find the solution to the equation 8x + 6 - 2x = 6x +5

Answer 1

8x + 6 - 2x = 6x + 5....combine like terms on the left side
6x + 6 = 6x + 5
6x - 6x = 5 - 6
0 = -1 (incorrect)
This has no solution

** if ur solution ends with a variable equaling a number, then there will be 1 solution.
if ur solution ends with no variables, but a true statement, such as 5 = 5 or 2 = 2....then there is infinite solutions.
if ur solution ends with no variables and a false statement, such as 5 = 4 or 0 = 3...then there is no solutions

Answer 2

The answer is no solution. 
First you simplify both sides of the equation... Then you subtract 6x from both sides. And lastly you subtract 6 from both sides. Leaving you with no solutions.