Find the missing number so that the equation has no solutions fill in the blank ___x + 2 = 4x - 13

There are no solutions if both sides of the equation are equal. Therefore, we must make the left side of the equation equal to the right side of the equation.

To do this, we can set the coefficient of x on both sides of the equation equal to each other.

Therefore, we have:
1x + 2 = 4x - 13

This results in x = 5.

So, the missing number is 5.