Final answer:
To find the missing number so that the equation has no solutions, set the left side equal to the right side and solve for the missing number. The missing number is 4.
Step-by-step explanation:
To find the missing number so that the equation has no solutions, we can set the left side of the equation equal to the right side and solve for the missing number.
___x - 17 = 3x - 9
By combining like terms and isolating the variable x, we can solve for it:
2x = 8
x = 4
So, the missing number in the equation is 4.
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