The distance from the center of the circle x2+y2=2x to the straight line passing through the points of intersection of the two circles x2+y2+5x−8y+1=0 and x2+y2−3x+7y−25=0 is _______.

Equation of common chords or radical axis of the given circles is x2+y2+5x−8y+1−x2+y2−3x+7y−25=0or    8x−15y+26=0.Center of the circle x2+y2=2x is C(1,0).Distance of C from the radical axis =|8−0+26|64+225=3417=2