To create an equation with no solution, we want to make sure the equation is contradictory. We can do this by setting the coefficients of x in the equation to be different.
To achieve this, we can multiply both sides of the equation by different numbers. Let's multiply the first equation by 2 and the second equation by 5:
2(5x + 12) = 5(x + 9)
Now, we can simplify both sides:
10x + 24 = 5x + 45
Subtracting 5x from both sides:
5x + 24 = 45
Subtracting 24 from both sides:
5x = 21
Dividing both sides by 5:
x = 4.2
So the complete equation with no solution is:
10x + 24 = 5(x + 9)