Add #17# to both sides, then divide by #15#, to get #q=2#
Explanation:
Given #color(white)("XXX")15q-17=13#
If we add #17# to both sides, the left side will be only a term with the factor #q# and the right side will be a constant (with no variable): #color(white)("XXX")15q=30#
Now by dividing both sides by #15# we will be left with just #q# on the left side. #color(white)("XXX")q=2#