First, multiply each side of the equation by #color(red)(6)# to eliminate the fraction while keeping the equation balanced:
#color(red)(6) xx (7 - 4x)/6 = color(red)(6) xx 1#
#cancel(color(red)(6)) xx (7 - 4x)/color(red)(cancel(color(black)(6))) = 6#
#7 - 4x = 6#
Next, subtract #color(red)(7)# from each side of the equation to isolate the #x# term while keeping the equation balanced:
#7 - color(red)(7) - 4x = 6 - color(red)(7)#
#0 - 4x = -1#
#-4x = -1#
Now, divide each side of the equation by #color(red)(-4)# to solve for #x# while keeping the equation balanced:
#(-4x)/color(red)(-4) = (-1)/color(red)(-4)#
#(color(red)(cancel(color(black)(-4)))x)/cancel(color(red)(-4)) = 1/4#
#x = 1/4#
