Explanation:
To solve the equation 24 = 9x + 4 - 4x, we need to combine like terms and isolate the variable x.
First, let's combine the x terms on the right side of the equation: 9x - 4x = 5x.
Now, the equation becomes 24 = 5x + 4.
To isolate the variable x, we need to move the constant term (4) to the other side of the equation by subtracting it from both sides:
24 - 4 = 5x + 4 - 4
This simplifies to 20 = 5x.
Next, we divide both sides of the equation by 5 to solve for x:
20/5 = 5x/5
This simplifies to 4 = x.
Therefore, the solution to the equation is x = 4.
To check our answer, we substitute x = 4 back into the original equation:
24 = 9(4) + 4 - 4(4)
This simplifies to 24 = 36 + 4 - 16.
Further simplifying, we get 24 = 40 - 16, which is true.
Thus, we can conclude that x = 4 is the correct solution to the equation.
I hope this explanation helps!