Starting from the equation:
#3/(2-x)=4#
We note that the #x# is in the denominator on the left hand side. We can do at least two things at this point, we can take the reciprocal of both sides or multiply both sides by a factor of #(2-x)#. Let's do the multiplication:
#(2-x)*3/(2-x)=(2-x)*4#
we can cancel the common factor of #(2-x)# on the left, and we can distribute the factor of #4# across the terms of #(2-x)# on the right to get
#cancel\color(red)((2-x))*3/cancel\color(red)((2-x)) = (\color(blue)4 *2-\color(blue)4 *x)#
#3 = 8-4x#
Next we need to get the x alone on one side. Lets subtract #8# from both sides:
#3-8 = 8-8-4x#
#-5 = -4x#
Then we can divide both sides by #-4#
#(-5)/(-4) = (-4)/(-4)x#
#5/4 = x#
which can be rewritten as
#x = 5/4#
