Finished an equation and got an answer of

8 = -6

Is this no solution for the final answer?

Yes, there would be no solution.

If your variable disappears and you end up with a FALSE statement, there is no solution
e.g. x +8 = x - 6

if your variable disappears and you end up with a TRUE statement, there will be an infinite number of solutions.
That is, every possible number can be substituted for your variable and the equation would be true.
e.g. 3x + 15 = 3(x + 6) - 3

Thank you Reiny!!

Yes, the equation "8 = -6" has no solution. This is because the left-hand side (8) is not equal to the right-hand side (-6). The equation is contradictory, as it is impossible for a number to be equal to its negative counterpart at the same time.

When solving equations, it's important to isolate the variable by performing the same operation or equation manipulation on both sides of the equation. However, in this case, there is no value of the variable that can make both sides of the equation equal. Therefore, no solution exists for the equation "8 = -6".