First, we can simplify the right side of the equation:
#(x + 3)/3 = 14/4#
#(x + 3)/3 = (2 xx 7)/(2 xx 2)#
#(x + 3)/3 = (color(red)(cancel(color(black)(2))) xx 7)/(color(red)(cancel(color(black)(2))) xx 2)#
#(x + 3)/3 = 7/2#
Next, we can multiply each side of the equation by #color(red)(3)# to eliminate the fraction on the left side of the equation while keeping the equation balanced:
#color(red)(3)(x + 3)/3 = color(red)(3) xx 7/2#
#cancel(color(red)(3))(x + 3)/color(red)(cancel(color(black)(3))) = 21/2#
#x + 3 = 21/2#
Now, we can subtract #color(red)(3)# from each side of the equation to solve for #x# while keeping the equation balanced:
#x + 3 - color(red)(3) = 21/2 - color(red)(3)#
#x + 0 = 21/2 - (2/2 xx color(red)(3))#
#x = 21/2 - 6/2#
#x = (21 - 6)/2#
#x = 15/2#
