To solve the equation 6x + 4x - 6 = 24 + 9x, you need to isolate the x term on one side of the equation. To do this, you can first combine like terms on each side of the equation:
6x + 4x - 6 = 24 + 9x
10x - 6 = 24 + 9x
Then, you can combine the x terms on the left side of the equation and the constant terms on the right side of the equation:
10x - 9x = 24 - 6
x = 18
Thus, the solution to the equation is x = 18. This equation has one solution, and it is neither an identity nor a contradiction.
An identity is an equation that is always true, no matter what value is chosen for the variables. For example, the equation "x + 0 = x" is an identity, because it is always true that any number plus 0 is equal to itself.
A contradiction is an equation that is always false, no matter what value is chosen for the variables. For example, the equation "x = x + 1" is a contradiction, because it is never true that any number is equal to itself plus 1.
In this case, the equation 6x + 4x - 6 = 24 + 9x is neither an identity nor a contradiction, because it has a specific solution (x = 18) that makes it true, but it is not true for all possible values of x.
