Step 1) Subtract #color(red)(5)# from each side of the equation to isolate the #x# term while keeping the equation balanced:
#3/7x + 5 - color(red)(5) = 9 - color(red)(5)#
#3/7x - 0 = 4#
#3/7x = 4#
Step 2) multiply each side of the equation by #color(red)(7)/color(blue)(3)# to solve for #x# while keeping the equation balanced:
#color(red)(7)/color(blue)(3) xx 3/7x = color(red)(7)/color(blue)(3) xx 4#
#cancel(color(red)(7))/cancel(color(blue)(3)) xx color(blue)(cancel(color(black)(3)))/color(red)(cancel(color(black)(7)))x = 28/3#
#x = 28/3#
