posted by Erica .
5(2n + 4) - 3(4n - 6) = 2(20 - n)
I solved this equation and this is what I got.
10n + 20 - 12n + 18 = 40 - 2n
-2n + 38 = 40 -2n
38 ≠ 40
What does this mean?
This equation is invalid, the left and right sides are not equal, therefore there is no solution.
If you end up with no variables, and the remaining statement is false, like in your case ----> the equation has no solution.
If you end up with no variables, and the remaining statement is true ---> the equation is true for any value of the variable. It would be an "identity"