First, multiply each side of the equation by #color(red)(10)# to eliminate the fractions while keeping the equation balanced. This will make the equation easier to work with. We are multiplying by #color(red)(10)# because this is the lowest common denominator for the two fractions:
#color(red)(10)(1/2x + 2) = color(red)(10) xx 3/5#
#(color(red)(10) xx 1/2x) + (color(red)(10) xx 2) = 30/5#
#5x + 20 = 6#
Next, subtract #color(red)(20)# from each side of the equation to isolate the #x# term while keeping the equation balanced:
#5x + 20 - color(red)(20) = 6 - color(red)(20)#
#5x + 0 = -14#
#5x = -14#
Next, divide each side of the equation by #color(red)(5)# to solve for #x# while keeping the equation balanced:
#(5x)/color(red)(5) = -14/color(red)(5)#
#(color(red)(cancel(color(black)(5)))x)/cancel(color(red)(5)) = -14/5#
#x = -14/5#
