We would first have to combine like terms to solve for x
So 15x-2 and 5x+3 becomes 20x+1
This is the whole length of the segment, so 20x+1=5
We'll then solve for x by adding one to each side, this isolates x and the equation becomes 20x=6
We can then divide each side by 20 to get x alone
6/20=.3
So x=.3
Next we'll plug .3 into the equation as x
15(.3)-2=2.5
5(.3)+3=4.5
The midpoint divides the line into two equal pieces, and 2.5 does not equal 4.5 so Q is not the midpoint of the segment.