To solve the equation 5(-x-1) = x+21 - 6xn, we can start by simplifying both sides of the equation:
5(-x-1) = x+21 - 6xn
-5x - 5 = x + 21 - 6xn
Next, we can gather all the x terms on one side and all the constant terms on the other side:
-5x - x + 6xn = 21 + 5
-6x + 6xn = 26
Factor out x on the left side:
x(-6 + 6n) = 26
Then divide both sides by (-6 + 6n):
x = 26 / (-6 + 6n)
This is the solution to the equation. However, we need to consider one special case: if (-6 + 6n) equals zero, then the denominator is zero, which makes the solution undefined. Therefore, the solution is valid only if (-6 + 6n) is not equal to zero.
In summary, the solution to the equation 5(-x-1) = x+21 - 6xn is x = 26 / (-6 + 6n), where n is any number except n = 1.