First, ultiply each side of the equation by #color(red)(sqrt(x))# to eliminate the fraction and eliminate the radical while keeping the equation balanced:
#color(red)(sqrt(x)) xx 2/sqrt(x) = color(red)(sqrt(x)) xx 3sqrt(x)#
#cancel(color(red)(sqrt(x))) xx 2/color(red)(cancel(color(black)(sqrt(x)))) = 3sqrt(x)color(red)(sqrt(x))#
#2 = 3x#
Now, divide each side of the equation by #color(red)(3)# to solve for #x# while keeping the equation balanced:
#2/color(red)(3) = (3x)/color(red)(3)#
#2/3 = (color(red)(cancel(color(black)(3)))x)/cancel(color(red)(3))#
#2/3 = x#
#x = 2/3#