You can put this solution on YOUR website! Lets divide problem to make it less messy
7/x + 1/ (x+5)
(7/x )((x+5)/(x+5)) + (1/(x+5))(x/x)
7(x+5)/x(x+5) + x/ x(x+5)
(7(x+5)+x)/(x(x+5))
so we are looking at
(7(x+5)+x)/(x(x+5)) over 4x/x+5
or
(7(x+5)+x)/(x(x+5))*((x+5)/4x)
(7(x+5)+x}/(4x^2)
(7x+35+x)/(4x^2)
(8x+35)/(4x^2)