First, multiply each side of the equation by #color(red)(4)# to clear the fractions while keeping the equation balanced:
#color(red)(4)(x - 3/4) = color(red)(4) xx 1/2#
#(color(red)(4) xx x) - (color(red)(4) xx 3/4) = 2#
#4x - 3 = 2#
Next, add #color(red)(3)# to each side of the equation to isolate the #x# term while keeping the equation balanced:
#4x - 3 +color(red)(3) = 2 + color(red)(3)#
#4x - 0 = 5#
#4x = 5#
Now, divide each side of the equation by #color(red)(4)# to solve for #x# while keeping the equation balanced:
#(4x)/color(red)(4) = 5/color(red)(4)#
#(color(red)(cancel(color(black)(4)))x)/cancel(color(red)(4)) = 5/4#
#x = 5/4#